Abundance/diversity GAM

Prepare environment

Load site data

Load network and survey data

### BB-FL visitation data
net <- read_csv("../processed_data/network.csv") %>%
  dplyr::select(site, date, bb.sp, plant.sp) # drop unused columns

## Parsed with column specification:
## cols(
##   year = col_double(),
##   dayofyear = col_double(),
##   site = col_character(),
##   trap.time = col_time(format = ""),
##   caste = col_character(),
##   pollen = col_character(),
##   bb.sp = col_character(),
##   bb.sp.lat = col_character(),
##   plant.sp.abb = col_character(),
##   plant.sp = col_character(),
##   plant.genus = col_character(),
##   day = col_double(),
##   month = col_double(),
##   date = col_date(format = "")
## )

### Floral survey data
survey <- read_csv("../processed_data/floral_survey.csv") %>%
  semi_join(net, by = "plant.sp") %>% # Consider only visited plant species (anytime anywhere, not specifically for a given site*date)
  dplyr::select(site, date, plant.sp, flower.cover)

## Parsed with column specification:
## cols(
##   year = col_double(),
##   dayofyear = col_double(),
##   site = col_character(),
##   snowcover = col_double(),
##   plant.sp = col_character(),
##   plant.genus = col_character(),
##   flower.cover = col_double(),
##   day = col_double(),
##   month = col_double(),
##   date = col_date(format = "")
## )

### Identify duplicate observations; these may be errors or intentionally duplicated (see correspondence with Kalli)
survey_dups <- survey %>%
  group_by(site, date, plant.sp) %>%
  mutate(dups = n()) %>%
  filter(dups > 1)

### Shared transects
shared_transects <- inner_join(net, survey, by = c("site", "date")) %>%
  dplyr::select(site, date) %>%
  unique() 

FL and BB abundance / diversity

Preference analysis

observed_visits <- net %>%
  semi_join(shared_transects) %>% # include only site*date combos where floral surveying was done
  group_by(site, date, bb.sp, plant.sp) %>% # group by bb*plant*transect
  summarize(visits = n()) %>% # total visits per bb-fl pair
  group_by(site, date, bb.sp) %>%
  mutate(prop.visits = visits/sum(visits))

## Joining, by = c("site", "date")

## `summarise()` regrouping output by 'site', 'date', 'bb.sp' (override with `.groups` argument)

# All possible bumble-plant pairings *site * date, filtered to include only those when the given bb.sp was present and the given plant.sp was *either* present *or* visited (see note below)
visitation_by_abundance <- fl_abund_sp %>%
  inner_join(bb_abund_sp.sub) %>%
  filter(bb.abund > 0) %>%
  filter(fl.abund > 0) %>% 
  left_join(observed_visits) %>%
  #filter(fl.abund > 0 | visits > 0) %>% # In about 10% of the bb.sp*plant.sp*site*year combos, the visited plant was not recorded in the floral survey data. There are a few different ways we could handle this, but I think an argument could be make that treating those plants as if they had zero abundance (even though they were evidently present gets close to the truth, since they must have been rather rare to have been missed in the surveying.)
  replace_na(list(visits = 0, prop.visits = 0))

## Joining, by = c("site", "date", "year")

## Joining, by = c("site", "date", "plant.sp", "bb.sp")

### Get mean abundance/visitation for each plant*bb combo
visitation_by_abundance_mean <- visitation_by_abundance %>%
  mutate(year = factor(year(date))) %>%
  group_by(plant.sp, bb.sp) %>%
  summarize(prop.fl.abund.m = mean(prop.fl.abund),
            prop.visits.wm = weighted.mean(prop.visits, bb.abund))

## `summarise()` regrouping output by 'plant.sp' (override with `.groups` argument)

# Visualize
ggplot(filter(visitation_by_abundance_mean, prop.visits.wm > 0), 
       aes(log(prop.fl.abund.m + 0.01), log(prop.visits.wm))) +
  geom_point(alpha = 0.5, aes(color = bb.sp)) +
  geom_smooth(method = "lm")

## `geom_smooth()` using formula 'y ~ x'

ggplot(filter(visitation_by_abundance_mean), 
       aes(prop.fl.abund.m, prop.visits.wm)) +
  geom_point(alpha = 0.5, aes(color = bb.sp)) +
  geom_smooth(method = "lm")

## `geom_smooth()` using formula 'y ~ x'

### Okay, here's what we're going to do. Preference has a strong bimodal pattern, with lots of plant species totally ignored while the ones that are foraged upon are visited in proportion to their abundance. We can't model that latter pattern well if we retain all the totally ignored plant species. So, let's model the visited plants separately from the unvisited ones.

### Call linear model on the subset of the floral species that were visited at least once
# log on log regression is common for proportional datam (log ratio regression)
pref.lm <- lm(log(prop.visits.wm) ~ log(prop.fl.abund.m + 0.01), 
              data = filter(visitation_by_abundance_mean, prop.visits.wm > 0))
summary(pref.lm)

## 
## Call:
## lm(formula = log(prop.visits.wm) ~ log(prop.fl.abund.m + 0.01), 
##     data = filter(visitation_by_abundance_mean, prop.visits.wm > 
##         0))
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -4.3448 -0.9590  0.2108  0.9621  4.0376 
## 
## Coefficients:
##                             Estimate Std. Error t value Pr(>|t|)    
## (Intercept)                 -1.04820    0.26772  -3.915 9.98e-05 ***
## log(prop.fl.abund.m + 0.01)  0.72783    0.08583   8.479  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 1.443 on 653 degrees of freedom
## Multiple R-squared:  0.09919,    Adjusted R-squared:  0.09781 
## F-statistic:  71.9 on 1 and 653 DF,  p-value: < 2.2e-16

plot(pref.lm)

### Extract residuals
pref.lm.resid <- residuals(pref.lm) %>%
  data.frame() %>%
  as_tibble() %>%
  rename(preference = 1)

#################################
### Build preference data set ###
#################################

# Start with the mean prop.fl.abund and weighted mean prop.visits
preference <- visitation_by_abundance_mean %>%  
  ungroup() %>%

# Remove bb*fl*year combos that had 0 visits
  filter(prop.visits.wm > 0) %>% 
  
# With the zeroes removed, what's left can be joined 1:1 with the 
# residuals of the model above, i.e. the raw preference data
  bind_cols(pref.lm.resid) %>% 
  
# Exponentiate the residuals to back-transform the data and ensure 
# that preference is > 0 for all visited plant species.
  mutate(preference = exp(preference)) %>% 
  
# Now we need to add back all the bb*fl*year combos that had 0 visits
# Then we have NAs for preference and floral abundance columns
  full_join(unique(dplyr::select(visitation_by_abundance_mean, bb.sp, plant.sp))) %>%
  
# Replace the NAs of the preference column with 0s; 
  replace_na(list(preference = 0)) %>%

# Drop the columns used to calculate preference so that they don't confuse us when we add site-date level abundance data
  dplyr::select(bb.sp, plant.sp, preference)

## Joining, by = c("plant.sp", "bb.sp")

write_csv(preference, "../analyses/output/preference.csv")

#################################
### Join with FL and BB abund ###
#################################

# For bb-fl combos that never co-occurred, set preference = 1
pref_forbidden_link_fill <- inner_join(fl_abund_sp, bb_abund_sp.sub) %>%
  mutate(co = case_when(
    fl.abund == 0 | bb.abund == 0 ~ 0,
    fl.abund != 0 & bb.abund != 0 ~ 1)
  ) %>%
  group_by(plant.sp, bb.sp) %>%
  summarize(co.max = max(co)) %>%
  filter(co.max == 0) %>%
  mutate(preference.update = rep(1, n())) %>%
  dplyr::select(-co.max) %>%
  inner_join(fl_abund_sp) %>%
  select(-year)

## Joining, by = c("site", "date", "year")

## `summarise()` regrouping output by 'plant.sp' (override with `.groups` argument)

## Joining, by = "plant.sp"

fl_abund_wt <- fl_abund_sp %>%
  select(-year) %>%
  left_join(preference) %>% 
  
# Add the forbidden links with preference set to 1 (neutral)
  full_join(pref_forbidden_link_fill) %>%
  mutate(preference = case_when(
    is.na(preference) ~ preference.update,
    !is.na(preference) ~ preference)
    ) %>%
  dplyr::select(-preference.update) %>%
  mutate(fl.abund.wt = fl.abund*preference) %>%
  mutate(yday = yday(date)) %>%
  group_by(site, date, yday, bb.sp) %>%
  summarize(fl.abund.wt = sum(fl.abund.wt, na.rm = TRUE)) %>%
  ungroup() %>%
  semi_join(survey, by = c("site", "date")) %>% # This gets rid of site*date combos that don't exist
  left_join(site_data, by = "site") %>%
  mutate(year = factor(year(date)), # add in the years missing from the bb_abund join
         bb.sp = factor(bb.sp), # convert bb.sp to a factor
         management = factor(management),
         site = factor(site),
         transect = factor(transect)) %>%
  group_by(year) %>%
  mutate(total.transects.year = n()) %>%
  ungroup()

## Joining, by = "plant.sp"

## Joining, by = c("site", "date", "plant.sp", "fl.abund", "prop.fl.abund", "bb.sp")

## `summarise()` regrouping output by 'site', 'date', 'yday' (override with `.groups` argument)

write_csv(fl_abund_wt, "../analyses/output/fl_abund_wt.csv")

Call GAMs

My argument for not including site as a random effect is that it would create identifiability issues with the elevation variable that I am actally interested in. This will probably cause the p-values to be underestimated, maybe to the point of being uninformative. But I don’t think I care. My goal is not to establish inferentially that time and elevation affect BB abundance; I want to say how they do. And I don’t want to obscure the “how” for the sake of inferential scruples.

Floral resources

### 2010
weighted_fl_abundance.2010 <- bam(log(fl.abund.wt + 0.001) ~
                                      s(bb.sp, bs = "re") +
                                      #s(management, bs = "re") +
                                      #s(site, bs = "re") +
                                      te(yday, elev.mean, 
                                                by = bb.sp,
                                                #id = 0,
                                                bs= c("gp", "tp"), 
                                                k=c(8, 8), 
                                                m=2),
                                    data = filter(fl_abund_wt, year == 2010),
                                    discrete = TRUE,
                                    family = "gaussian",
                                    select = TRUE,
                                    method = "fREML") %>% getViz(nsim = 500)

check.gamViz(weighted_fl_abundance.2010)

## 
## Method: fREML   Optimizer: perf chol
## $grad
##  [1]  6.217249e-15  4.884981e-15 -3.330669e-15 -1.554312e-15 -1.598721e-14
##  [6] -7.993606e-15 -6.661338e-16 -4.440892e-15 -1.598721e-14  1.776357e-15
## [11] -1.136868e-13  1.243450e-14 -2.775558e-15  3.108624e-15  4.440892e-15
## [16]  1.776357e-15  0.000000e+00 -2.664535e-15  5.773160e-15 -1.776357e-15
## [21]  1.287859e-14  3.330669e-16  4.440892e-15  1.776357e-15 -1.776357e-15
## [26]  4.440892e-16 -1.110223e-15  2.442491e-15  7.993606e-15 -1.776357e-15
## [31] -8.881784e-16 -2.220446e-15 -2.220446e-16  4.440892e-16  3.552714e-15
## [36]  8.881784e-16  1.110223e-15 -2.664535e-15 -1.110223e-15  2.220446e-15
## [41]  2.220446e-15 -3.552714e-15 -1.110223e-15 -5.240253e-13  4.574119e-14
## [46] -3.086420e-14  8.881784e-15  2.664535e-15 -1.998401e-15  0.000000e+00
## 
## $hess
##            [,1]          [,2]          [,3]          [,4]          [,5]
##    5.0877020543  1.506401e-01  9.560483e-02  2.353610e-03  1.861780e-01
##    0.1506401439  7.060872e-01  8.054751e-02  2.264765e-02  6.677661e-04
##    0.0956048288  8.054751e-02  1.057491e+00 -4.403054e-02  4.092073e-04
##    0.0023536104  2.264765e-02 -4.403054e-02  1.425030e+00  2.256252e-05
##    0.1861779860  6.677661e-04  4.092073e-04  2.256252e-05  4.246723e+00
##   -0.2650994759 -7.926736e-04 -4.838028e-04 -2.840162e-05 -1.907121e-02
##    0.4066698281  1.278919e-03  7.815091e-04  4.505122e-05 -1.627612e-01
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##   -0.0247684445  2.928174e-04  1.792202e-04  1.007522e-05 -2.555644e-04
##   -0.2729385416 -2.037423e-03 -1.243384e-03 -7.311979e-05  1.737115e-03
##   -0.0918345773 -6.685675e-04 -4.079105e-04 -2.407534e-05  5.689124e-04
##    0.1428391589  1.274395e-03  7.789334e-04  4.473513e-05 -1.100192e-03
##    0.0069976124 -9.898500e-04 -6.040656e-04 -3.553495e-05  8.438025e-04
##   -0.0076615436  2.512054e-04  1.535544e-04  8.807195e-06 -2.170152e-04
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##    0.0430079612  8.940272e-04  5.466907e-04  3.117933e-05 -7.745944e-04
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##   -0.0102345027  6.103587e-04  3.730785e-04  2.141188e-05 -5.271106e-04
##    0.0355303162 -5.138076e-04 -3.134821e-04 -1.850684e-05  4.371599e-04
##   -0.0138859604  1.207145e-04  7.388724e-05  4.150727e-06 -1.053951e-04
##   -0.0154553711  6.610778e-05  4.079993e-05  1.993428e-06 -6.152899e-05
##    0.0293783865 -2.974263e-04 -1.813246e-04 -1.082921e-05  2.514740e-04
##    0.0222601965 -1.954767e-04 -1.192977e-04 -7.012345e-06  1.667051e-04
##    0.0003294077 -2.944517e-05 -1.784083e-05 -1.163748e-06  2.364699e-05
##   -0.0325933278 -3.571862e-04 -2.176943e-04 -1.305716e-05  3.012911e-04
##   -0.0041554100 -2.345800e-05 -1.420909e-05 -9.305339e-07  1.879226e-05
##   -0.0075793045 -1.543305e-05 -9.136903e-06 -7.877843e-07  9.970956e-06
##    0.0056306819 -1.211550e-04 -7.358808e-05 -4.638525e-06  9.933932e-05
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##   -0.0169714117  9.347581e-05  5.731509e-05  3.130870e-06 -8.274768e-05
##   -0.0043605743  6.118393e-05  3.767152e-05  1.919370e-06 -5.593217e-05
##   -0.0055548178 -6.747359e-05 -4.109302e-05 -2.491562e-06  5.657384e-05
##   -0.0189544012 -2.177579e-04 -1.325750e-04 -8.078192e-06  1.820747e-04
##   -0.0152976071 -3.248701e-04 -1.982283e-04 -1.168491e-05  2.766333e-04
##   -0.0021747412 -2.603777e-05 -1.584621e-05 -9.709655e-07  2.170240e-05
##   -0.0163168725 -2.970361e-04 -1.811429e-04 -1.076837e-05  2.517796e-04
##   -0.0027024440 -2.475271e-04 -1.505099e-04 -9.339794e-06  2.048232e-04
##    0.0219608713 -5.103644e-04 -3.115077e-04 -1.827786e-05  4.356605e-04
##   -0.0116712649  3.371403e-05  2.101529e-05  8.438410e-07 -3.373317e-05
## d -6.4811484855 -2.086732e+00 -1.799451e+00 -1.399435e+00 -6.638188e+00
##            [,6]          [,7]          [,8]          [,9]         [,10]
##   -2.650995e-01  4.066698e-01  4.257533e-02  4.170756e-02 -2.476844e-02
##   -7.926736e-04  1.278919e-03 -1.077321e-03 -8.740963e-04  2.928174e-04
##   -4.838028e-04  7.815091e-04 -6.573004e-04 -5.336148e-04  1.792202e-04
##   -2.840162e-05  4.505122e-05 -3.879563e-05 -3.122242e-05  1.007522e-05
##   -1.907121e-02 -1.627612e-01  9.167247e-04  7.472677e-04 -2.555644e-04
##    2.183557e+00  1.142222e-02 -1.088578e-03 -8.835258e-04  2.964217e-04
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##   -1.088578e-03  1.756158e-03  2.078946e+00  4.237369e-02 -8.091760e-03
##   -8.835258e-04  1.427183e-03  4.237369e-02  1.128112e+00  2.543153e-02
##    2.964217e-04 -4.815699e-04 -8.091760e-03  2.543153e-02  1.244666e+00
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##   -6.755544e-04  1.089848e-03 -9.181713e-04 -7.449332e-04  2.494950e-04
##    1.289055e-03 -2.087874e-03  1.749910e-03  1.422475e-03 -4.805392e-04
##   -1.000322e-03  1.614572e-03 -1.359376e-03 -1.103153e-03  3.698623e-04
##    2.541076e-04 -4.116545e-04  3.449351e-04  2.804182e-04 -9.476927e-05
##    1.016767e-04 -1.670833e-04  1.374221e-04  1.125003e-04 -3.919612e-05
##   -1.416676e-03  2.284143e-03 -1.925794e-03 -1.562001e-03  5.224874e-04
##   -3.782000e-04  6.098351e-04 -5.141020e-04 -4.170031e-04  1.395138e-04
##    9.045473e-04 -1.466549e-03  1.227568e-03  9.983529e-04 -3.379872e-04
##   -4.258512e-04  6.867826e-04 -5.788480e-04 -4.695572e-04  1.571519e-04
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##    1.222037e-04 -1.985534e-04  1.657365e-04  1.349297e-04 -4.589025e-05
##    6.724762e-05 -1.112629e-04  9.069826e-05  7.450076e-05 -2.633140e-05
##   -3.003968e-04  4.837684e-04 -4.084956e-04 -3.311409e-04  1.104833e-04
##   -1.975507e-04  3.188940e-04 -2.684500e-04 -2.178630e-04  7.306287e-05
##   -2.963295e-05  4.706461e-05 -4.046239e-05 -3.258358e-05  1.054449e-05
##   -3.606931e-04  5.804978e-04 -4.905840e-04 -3.975615e-04  1.324584e-04
##   -2.360364e-05  3.746397e-05 -3.223586e-05 -2.595084e-05  8.385797e-06
##   -1.532524e-05  2.306065e-05 -2.124897e-05 -1.669123e-05  4.763505e-06
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##   -4.031646e-04  6.511306e-04 -5.477745e-04 -4.446591e-04  1.492840e-04
##    9.472549e-05 -1.545032e-04  1.283193e-04  1.046645e-04 -3.589264e-05
##    6.215257e-05 -1.023032e-04  8.396022e-05  6.878994e-05 -2.405082e-05
##   -6.810703e-05  1.094317e-04 -9.267868e-05 -7.504619e-05  2.491441e-05
##   -2.197591e-04  3.528336e-04 -2.991111e-04 -2.421162e-04  8.024696e-05
##   -3.282811e-04  5.297032e-04 -4.461543e-04 -3.620076e-04  1.212936e-04
##   -2.627122e-05  4.214351e-05 -3.576652e-05 -2.893938e-05  9.573672e-06
##   -3.000568e-04  4.835552e-04 -4.079488e-04 -3.308079e-04  1.105385e-04
##   -2.496196e-04  3.996476e-04 -3.400387e-04 -2.748734e-04  9.054252e-05
##   -5.158146e-04  8.328663e-04 -7.008811e-04 -5.688784e-04  1.908885e-04
##    3.449571e-05 -5.830409e-05  4.621453e-05  3.837008e-05 -1.417012e-05
## d -6.223386e+00 -1.375893e+00 -4.912111e+00 -4.945660e+00 -1.247440e+00
##           [,11]         [,12]         [,13]         [,14]         [,15]
##   -2.729385e-01 -9.183458e-02  1.428392e-01  6.997612e-03 -7.661544e-03
##   -2.037423e-03 -6.685675e-04  1.274395e-03 -9.898500e-04  2.512054e-04
##   -1.243384e-03 -4.079105e-04  7.789334e-04 -6.040656e-04  1.535544e-04
##   -7.311979e-05 -2.407534e-05  4.473513e-05 -3.553495e-05  8.807195e-06
##    1.737115e-03  5.689124e-04 -1.100192e-03  8.438025e-04 -2.170152e-04
##   -2.059003e-03 -6.755544e-04  1.289055e-03 -1.000322e-03  2.541076e-04
##    3.323499e-03  1.089848e-03 -2.087874e-03  1.614572e-03 -4.116545e-04
##   -2.798019e-03 -9.181713e-04  1.749910e-03 -1.359376e-03  3.449351e-04
##   -2.270684e-03 -7.449332e-04  1.422475e-03 -1.103153e-03  2.804182e-04
##    7.613888e-04  2.494950e-04 -4.805392e-04  3.698623e-04 -9.476927e-05
##    5.972909e+00  2.220800e-01  3.982532e-01 -2.571048e-03  6.528806e-04
##    2.220800e-01  3.050767e+00  1.153026e-01 -8.436070e-04  2.140623e-04
##    3.982532e-01  1.153026e-01  5.144881e-01  1.608989e-03 -4.105374e-04
##   -2.571048e-03 -8.436070e-04  1.608989e-03  1.831502e+00  6.045876e-02
##    6.528806e-04  2.140623e-04 -4.105374e-04  6.045876e-02  7.903803e-01
##    2.608753e-04  8.528423e-05 -1.671081e-04  8.551978e-02 -2.591567e-02
##   -3.641546e-03 -1.195115e-03  2.275748e-03 -1.769210e-03  4.485673e-04
##   -9.721495e-04 -3.190430e-04  6.076047e-04 -4.723088e-04  1.197643e-04
##    2.323879e-03  7.618139e-04 -1.462808e-03  1.128920e-03 -2.884451e-04
##   -1.094618e-03 -3.592233e-04  6.842934e-04 -5.318073e-04  1.348819e-04
##    8.004923e-04  2.624864e-04 -5.030362e-04  3.888814e-04 -9.918249e-05
##   -4.982199e-04 -1.637230e-04  3.087461e-04 -2.420836e-04  6.082782e-05
##   -2.360562e-03 -7.747247e-04  1.475031e-03 -1.146858e-03  2.907380e-04
##   -1.394539e-03 -4.575357e-04  8.731766e-04 -6.775051e-04  1.721280e-04
##   -4.402970e-04 -1.446788e-04  2.729711e-04 -2.139378e-04  5.378090e-05
##   -1.395654e-03 -4.580574e-04  8.719642e-04 -6.780678e-04  1.718683e-04
##   -1.547899e-03 -5.078249e-04  9.695321e-04 -7.520081e-04  1.911260e-04
##    1.586292e-03  5.201132e-04 -9.973561e-04  7.706197e-04 -1.966520e-04
##   -1.334454e-03 -4.379049e-04  8.345446e-04 -6.483254e-04  1.645016e-04
##    3.138892e-04  1.028544e-04 -1.981325e-04  1.524787e-04 -3.907487e-05
##    1.724234e-04  5.628797e-05 -1.114300e-04  8.373042e-05 -2.200369e-05
##   -7.722532e-04 -2.535049e-04  4.818749e-04 -3.751998e-04  9.497323e-05
##   -5.077431e-04 -1.665958e-04  3.177987e-04 -2.466768e-04  6.264588e-05
##   -7.628061e-05 -2.510972e-05  4.674683e-05 -3.707021e-05  9.204112e-06
##   -9.273189e-04 -3.044472e-04  5.781498e-04 -4.505438e-04  1.139429e-04
##   -6.076384e-05 -2.000457e-05  3.720595e-05 -2.952985e-05  7.325229e-06
##   -3.964642e-05 -1.318548e-05  2.264124e-05 -1.928497e-05  4.439540e-06
##   -3.141456e-04 -1.032955e-04  1.939115e-04 -1.526507e-04  3.819523e-05
##   -1.036160e-03 -3.399403e-04  6.489604e-04 -5.033931e-04  1.279306e-04
##    2.432180e-04  7.963415e-05 -1.542957e-04  1.181402e-04 -3.043787e-05
##    1.594410e-04  5.210588e-05 -1.023521e-04  7.743349e-05 -2.020387e-05
##   -1.751264e-04 -5.751451e-05  1.089525e-04 -8.508878e-05  2.147004e-05
##   -5.651164e-04 -1.856221e-04  3.512345e-04 -2.745773e-04  6.921003e-05
##   -8.437794e-04 -2.768760e-04  5.278390e-04 -4.099364e-04  1.040469e-04
##   -6.756268e-05 -2.219593e-05  4.194513e-05 -3.282769e-05  8.264691e-06
##   -7.713277e-04 -2.531659e-04  4.817305e-04 -3.747455e-04  9.494949e-05
##   -6.420766e-04 -2.110200e-04  3.976062e-04 -3.119864e-04  7.833151e-05
##   -1.325709e-03 -4.349558e-04  8.300499e-04 -6.440661e-04  1.636262e-04
##    8.825839e-05  2.868201e-05 -5.863500e-05  4.284180e-05 -1.159524e-05
## d -9.566287e+00 -6.707421e+00 -9.114839e-01 -3.317315e+00 -2.601527e+00
##           [,16]         [,17]         [,18]         [,19]         [,20]
##   -1.228042e-02 -1.172276e-01 -3.108472e-02  4.300796e-02 -4.751078e-02
##    1.001364e-04 -1.402237e-03 -3.743368e-04  8.940272e-04 -4.214834e-04
##    6.160820e-05 -8.553182e-04 -2.283420e-04  5.466907e-04 -2.571197e-04
##    3.180131e-06 -5.068086e-05 -1.352210e-05  3.117933e-05 -1.520961e-05
##   -9.101236e-05  1.190691e-03  3.179653e-04 -7.745944e-04  3.582240e-04
##    1.016767e-04 -1.416676e-03 -3.782000e-04  9.045473e-04 -4.258512e-04
##   -1.670833e-04  2.284143e-03  6.098351e-04 -1.466549e-03  6.867826e-04
##    1.374221e-04 -1.925794e-03 -5.141020e-04  1.227568e-03 -5.788480e-04
##    1.125003e-04 -1.562001e-03 -4.170031e-04  9.983529e-04 -4.695572e-04
##   -3.919612e-05  5.224874e-04  1.395138e-04 -3.379872e-04  1.571519e-04
##    2.608753e-04 -3.641546e-03 -9.721495e-04  2.323879e-03 -1.094618e-03
##    8.528423e-05 -1.195115e-03 -3.190430e-04  7.618139e-04 -3.592233e-04
##   -1.671081e-04  2.275748e-03  6.076047e-04 -1.462808e-03  6.842934e-04
##    8.551978e-02 -1.769210e-03 -4.723088e-04  1.128920e-03 -5.318073e-04
##   -2.591567e-02  4.485673e-04  1.197643e-04 -2.884451e-04  1.348819e-04
##    1.273708e+00  1.781430e-04  4.758595e-05 -1.180319e-04  5.364039e-05
##    1.781430e-04  3.472253e+00  3.354139e-01  1.459495e-01 -7.534976e-04
##    4.758595e-05  3.354139e-01  2.349640e+00 -5.769412e-02 -2.011484e-04
##   -1.180319e-04  1.459495e-01 -5.769412e-02  1.224798e+00  4.799746e-04
##    5.364039e-05 -7.534976e-04 -2.011484e-04  4.799746e-04  2.513334e+00
##   -4.030718e-05  5.500996e-04  1.468703e-04 -3.533701e-04  5.154603e-01
##    2.329354e-05 -3.439248e-04 -9.179141e-05  2.160070e-04 -8.345157e-02
##    1.154040e-04 -1.625165e-03 -4.338377e-04  1.034477e-03 -4.884552e-04
##    6.891194e-05 -9.594572e-04 -2.561404e-04  6.127434e-04 -2.884145e-04
##    2.063493e-05 -3.038974e-04 -8.110926e-05  1.910025e-04 -9.128692e-05
##    6.817736e-05 -9.609061e-04 -2.565128e-04  6.115040e-04 -2.888042e-04
##    7.662688e-05 -1.064853e-03 -2.842797e-04  6.804271e-04 -3.201045e-04
##   -8.008798e-05  1.089919e-03  2.909997e-04 -7.007219e-04  3.277301e-04
##    6.552513e-05 -9.184789e-04 -2.451931e-04  5.854282e-04 -2.760721e-04
##   -1.616968e-05  2.153908e-04  5.751349e-05 -1.393617e-04  6.478507e-05
##   -9.953902e-06  1.173923e-04  3.136550e-05 -7.890035e-05  3.537155e-05
##    3.747377e-05 -5.319114e-04 -1.419886e-04  3.378128e-04 -1.598536e-04
##    2.504096e-05 -3.493753e-04 -9.326966e-05  2.229878e-04 -1.050199e-04
##    3.349788e-06 -5.284393e-05 -1.409980e-05  3.259764e-05 -1.586061e-05
##    4.479841e-05 -6.388899e-04 -1.705419e-04  4.052064e-04 -1.919919e-04
##    2.655251e-06 -4.210591e-05 -1.123445e-05  2.593797e-05 -1.263694e-05
##    1.057038e-06 -2.805546e-05 -7.473430e-06  1.544438e-05 -8.381148e-06
##    1.437167e-05 -2.171294e-04 -5.794479e-05  1.355087e-04 -6.520258e-05
##    5.127642e-05 -7.128252e-04 -1.902999e-04  4.554382e-04 -2.142808e-04
##   -1.284820e-05  1.666209e-04  4.449681e-05 -1.086837e-04  5.013469e-05
##   -8.920135e-06  1.087987e-04  2.906420e-05 -7.233698e-05  3.276552e-05
##    8.364241e-06 -1.207387e-04 -3.222762e-05  7.631384e-05 -3.627745e-05
##    2.684797e-05 -3.897357e-04 -1.040258e-04  2.459452e-04 -1.170927e-04
##    4.149537e-05 -5.807020e-04 -1.550228e-04  3.703074e-04 -1.745484e-04
##    3.190470e-06 -4.661168e-05 -1.244094e-05  2.936169e-05 -1.400295e-05
##    3.760783e-05 -5.311196e-04 -1.417805e-04  3.377999e-04 -1.596260e-04
##    2.990048e-05 -4.433327e-04 -1.183206e-04  2.781168e-04 -1.331604e-04
##    6.549841e-05 -9.121123e-04 -2.435008e-04  5.824736e-04 -2.741818e-04
##   -5.755179e-06  5.952013e-05  1.591501e-05 -4.183241e-05  1.797277e-05
## d -1.234068e+00 -6.181807e+00 -5.957341e+00 -1.282235e+00 -4.100237e+00
##           [,21]         [,22]         [,23]         [,24]         [,25]
##    2.698845e-02 -2.967552e-02  1.186971e-02  1.238687e-02 -4.295270e-03
##    3.080262e-04 -1.920515e-04 -9.089874e-04 -5.368596e-04 -1.697143e-04
##    1.882456e-04 -1.168066e-04 -5.544289e-04 -3.276834e-04 -1.032365e-04
##    1.083390e-05 -7.222551e-06 -3.287263e-05 -1.922338e-05 -6.369624e-06
##   -2.656311e-04  1.592455e-04  7.715924e-04  4.583234e-04  1.408994e-04
##    3.115447e-04 -1.937028e-04 -9.183248e-04 -5.425967e-04 -1.711885e-04
##   -5.044551e-04  3.102958e-04  1.480500e-03  8.761344e-04  2.743222e-04
##    4.229649e-04 -2.638238e-04 -1.248382e-03 -7.372661e-04 -2.331358e-04
##    3.437715e-04 -2.133211e-04 -1.012511e-03 -5.984187e-04 -1.885381e-04
##   -1.160570e-04  7.035323e-05  3.386151e-04  2.008128e-04  6.222584e-05
##    8.004923e-04 -4.982199e-04 -2.360562e-03 -1.394539e-03 -4.402970e-04
##    2.624864e-04 -1.637230e-04 -7.747247e-04 -4.575357e-04 -1.446788e-04
##   -5.030362e-04  3.087461e-04  1.475031e-03  8.731766e-04  2.729711e-04
##    3.888814e-04 -2.420836e-04 -1.146858e-03 -6.775051e-04 -2.139378e-04
##   -9.918249e-05  6.082782e-05  2.907380e-04  1.721280e-04  5.378090e-05
##   -4.030718e-05  2.329354e-05  1.154040e-04  6.891194e-05  2.063493e-05
##    5.500996e-04 -3.439248e-04 -1.625165e-03 -9.594572e-04 -3.038974e-04
##    1.468703e-04 -9.179141e-05 -4.338377e-04 -2.561404e-04 -8.110926e-05
##   -3.533701e-04  2.160070e-04  1.034477e-03  6.127434e-04  1.910025e-04
##    5.154603e-01 -8.345157e-02 -4.884552e-04 -2.884145e-04 -9.128692e-05
##    3.367879e-01 -7.426320e-02  3.565521e-04  2.110310e-04  6.602977e-05
##   -7.426320e-02  8.554987e-01 -2.230015e-04 -1.311547e-04 -4.230547e-05
##    3.565521e-04 -2.230015e-04  2.386609e+00  2.492147e-01  8.520631e-03
##    2.110310e-04 -1.311547e-04  2.492147e-01  1.144497e+00  3.353709e-02
##    6.602977e-05 -4.230547e-05  8.520631e-03  3.353709e-02  1.304540e+00
##    2.107785e-04 -1.318900e-04 -6.229178e-04 -3.677101e-04 -1.165371e-04
##    2.343113e-04 -1.454691e-04 -6.902554e-04 -4.079285e-04 -1.285669e-04
##   -2.409556e-04  1.478317e-04  7.064309e-04  4.182112e-04  1.307038e-04
##    2.017157e-04 -1.258373e-04 -5.953983e-04 -3.516214e-04 -1.111994e-04
##   -4.785123e-05  2.899516e-05  1.395905e-04  8.278796e-05  2.564591e-05
##   -2.685705e-05  1.507200e-05  7.602967e-05  4.558958e-05  1.336508e-05
##    1.164957e-04 -7.317832e-05 -3.448290e-04 -2.034374e-04 -6.465207e-05
##    7.680871e-05 -4.779213e-05 -2.264753e-04 -1.337991e-04 -4.223619e-05
##    1.131940e-05 -7.509076e-06 -3.427415e-05 -2.005776e-05 -6.623269e-06
##    1.397810e-04 -8.803188e-05 -4.141906e-04 -2.442659e-04 -7.776879e-05
##    9.009835e-06 -5.992086e-06 -2.731016e-05 -1.597629e-05 -5.284838e-06
##    5.518276e-06 -4.448765e-06 -1.822815e-05 -1.035273e-05 -3.903565e-06
##    4.692401e-05 -3.046456e-05 -1.408018e-04 -8.266447e-05 -2.688801e-05
##    1.568382e-04 -9.739061e-05 -4.620660e-04 -2.730646e-04 -8.607419e-05
##   -3.724790e-05  2.221231e-05  1.079689e-04  6.418218e-05  1.965670e-05
##   -2.468320e-05  1.416410e-05  7.047733e-05  4.212697e-05  1.255046e-05
##    2.634672e-05 -1.670169e-05 -7.827906e-05 -4.612005e-05 -1.475157e-05
##    8.494231e-05 -5.400867e-05 -2.526856e-04 -1.488101e-04 -4.769814e-05
##    1.275794e-04 -7.951650e-05 -3.764335e-04 -2.223380e-04 -7.026883e-05
##    1.014498e-05 -6.472468e-06 -3.022164e-05 -1.778899e-05 -5.715612e-06
##    1.164516e-04 -7.294778e-05 -3.443074e-04 -2.032125e-04 -6.445393e-05
##    9.618804e-05 -6.184575e-05 -2.874633e-04 -1.690120e-04 -5.460096e-05
##    2.006087e-04 -1.246912e-04 -5.912524e-04 -3.493596e-04 -1.101992e-04
##   -1.409948e-05  7.188036e-06  3.851746e-05  2.340560e-05  6.396159e-06
## d -3.344803e+00 -9.605782e-01 -4.518452e+00 -4.448711e+00 -1.297074e+00
##           [,26]         [,27]         [,28]         [,29]         [,30]
##   -7.596776e-03 -1.072450e-03 -1.023450e-02  3.553032e-02 -1.388596e-02
##   -5.374382e-04 -5.958734e-04  6.103587e-04 -5.138076e-04  1.207145e-04
##   -3.277888e-04 -3.637465e-04  3.730785e-04 -3.134821e-04  7.388724e-05
##   -1.944996e-05 -2.130089e-05  2.141188e-05 -1.850684e-05  4.150727e-06
##    4.560122e-04  5.091892e-04 -5.271106e-04  4.371599e-04 -1.053951e-04
##   -5.429426e-04 -6.022824e-04  6.173953e-04 -5.191720e-04  1.222037e-04
##    8.752179e-04  9.727644e-04 -1.000089e-03  8.375302e-04 -1.985534e-04
##   -7.381086e-04 -8.183010e-04  8.380985e-04 -7.056343e-04  1.657365e-04
##   -5.986158e-04 -6.642767e-04  6.813096e-04 -5.724866e-04  1.349297e-04
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##   -1.395654e-03 -1.547899e-03  1.586292e-03 -1.334454e-03  3.138892e-04
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##    8.719642e-04  9.695321e-04 -9.973561e-04  8.345446e-04 -1.981325e-04
##   -6.780678e-04 -7.520081e-04  7.706197e-04 -6.483254e-04  1.524787e-04
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##   -3.520309e-04 -3.902678e-04  3.996946e-04  3.186086e+00  4.182422e-01
##    8.250760e-05  9.195225e-05 -9.491786e-05  4.182422e-01  1.311025e+00
##    4.490227e-05  5.072831e-05 -5.341676e-05 -9.800506e-02 -1.251774e-01
##   -2.038963e-04 -2.257587e-04  2.307733e-04 -1.948289e-04  4.554369e-05
##   -1.339004e-04 -1.485142e-04  1.522092e-04 -1.280313e-04  3.012089e-05
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##   -2.449163e-04 -2.710496e-04  2.768734e-04 -2.339822e-04  5.460095e-05
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##    4.163288e-05  4.685102e-05 -4.905600e-05  4.003274e-05 -9.922337e-06
##   -4.629069e-05 -5.116884e-05  5.217374e-05 -4.420369e-05  1.026937e-05
##   -1.494317e-04 -1.650881e-04  1.681898e-04 -1.426643e-04  3.307568e-05
##   -2.225652e-04 -2.467804e-04  2.528039e-04 -2.127846e-04  5.000368e-05
##   -1.787294e-05 -1.973323e-05  2.008493e-05 -1.705942e-05  3.945882e-06
##   -2.035818e-04 -2.255245e-04  2.307100e-04 -1.945663e-04  4.556767e-05
##   -1.700187e-04 -1.874479e-04  1.903751e-04 -1.621910e-04  3.731510e-05
##   -3.495660e-04 -3.877920e-04  3.975551e-04 -3.342686e-04  7.869644e-05
##    2.272531e-05  2.610043e-05 -2.812908e-05  2.202742e-05 -5.851260e-06
## d -2.731488e+00 -1.553635e+00 -1.321309e+00 -4.458861e+00 -4.123461e+00
##           [,31]         [,32]         [,33]         [,34]         [,35]
##   -1.545537e-02  2.937839e-02  2.226020e-02  3.294077e-04 -3.259333e-02
##    6.610778e-05 -2.974263e-04 -1.954767e-04 -2.944517e-05 -3.571862e-04
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##   -1.112629e-04  4.837684e-04  3.188940e-04  4.706461e-05  5.804978e-04
##    9.069826e-05 -4.084956e-04 -2.684500e-04 -4.046239e-05 -4.905840e-04
##    7.450076e-05 -3.311409e-04 -2.178630e-04 -3.258358e-05 -3.975615e-04
##   -2.633140e-05  1.104833e-04  7.306287e-05  1.054449e-05  1.324584e-04
##    1.724234e-04 -7.722532e-04 -5.077431e-04 -7.628061e-05 -9.273189e-04
##    5.628797e-05 -2.535049e-04 -1.665958e-04 -2.510972e-05 -3.044472e-04
##   -1.114300e-04  4.818749e-04  3.177987e-04  4.674683e-05  5.781498e-04
##    8.373042e-05 -3.751998e-04 -2.466768e-04 -3.707021e-05 -4.505438e-04
##   -2.200369e-05  9.497323e-05  6.264588e-05  9.204112e-06  1.139429e-04
##   -9.953902e-06  3.747377e-05  2.504096e-05  3.349788e-06  4.479841e-05
##    1.173923e-04 -5.319114e-04 -3.493753e-04 -5.284393e-05 -6.388899e-04
##    3.136550e-05 -1.419886e-04 -9.326966e-05 -1.409980e-05 -1.705419e-04
##   -7.890035e-05  3.378128e-04  2.229878e-04  3.259764e-05  4.052064e-04
##    3.537155e-05 -1.598536e-04 -1.050199e-04 -1.586061e-05 -1.919919e-04
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##    5.072831e-05 -2.257587e-04 -1.485142e-04 -2.222822e-05 -2.710496e-04
##   -5.341676e-05  2.307733e-04  1.522092e-04  2.237583e-05  2.768734e-04
##   -9.800506e-02 -1.948289e-04 -1.280313e-04 -1.930163e-05 -2.339822e-04
##   -1.251774e-01  4.554369e-05  3.012089e-05  4.344281e-06  5.460095e-05
##    8.846495e-01  2.461595e-05  1.655355e-05  2.109099e-06  2.937548e-05
##    2.461595e-05  4.097782e-01 -3.146487e-02 -3.033197e-02 -1.356632e-04
##    1.655355e-05 -3.146487e-02  5.907294e-01 -5.756966e-02 -8.896423e-05
##    2.109099e-06 -3.033197e-02 -5.756966e-02  1.388998e+00 -1.360304e-05
##    2.937548e-05 -1.356632e-04 -8.896423e-05 -1.360304e-05  1.106613e+00
##    1.668036e-06 -8.994578e-06 -5.827474e-06 -9.638591e-07  4.955450e-02
##    4.692972e-07 -6.121894e-06 -3.797344e-06 -8.036350e-07  1.271241e-02
##    9.214050e-06 -4.625995e-05 -3.013237e-05 -4.816434e-06 -5.568921e-05
##    3.394143e-05 -1.511289e-04 -9.941498e-05 -1.488404e-05 -1.814501e-04
##   -8.711361e-06  3.517005e-05  2.334158e-05  3.283630e-06  4.212387e-05
##   -6.166708e-06  2.286911e-05  1.530511e-05  2.023852e-06  2.732751e-05
##    5.459602e-06 -2.565633e-05 -1.680041e-05 -2.593816e-06 -3.084189e-05
##    1.748688e-05 -8.284406e-05 -5.421233e-05 -8.406913e-06 -9.960610e-05
##    2.740067e-05 -1.231670e-04 -8.095502e-05 -1.218802e-05 -1.479110e-04
##    2.072917e-06 -9.911702e-06 -6.481232e-06 -1.010097e-06 -1.191959e-05
##    2.475048e-05 -1.127128e-04 -7.400141e-05 -1.122544e-05 -1.353975e-04
##    1.931496e-05 -9.435251e-05 -6.159084e-05 -9.708014e-06 -1.135188e-04
##    4.332818e-05 -1.934011e-04 -1.271951e-04 -1.907096e-05 -2.322168e-04
##   -4.162782e-06  1.235270e-05  8.478052e-06  9.088087e-07  1.465609e-05
## d -9.765132e-01 -1.758022e+00 -1.996082e+00 -1.369980e+00 -3.073769e+00
##           [,36]         [,37]         [,38]         [,39]         [,40]
##   -4.155410e-03 -7.579304e-03  5.630682e-03  4.695383e-02 -1.697141e-02
##   -2.345800e-05 -1.543305e-05 -1.211550e-04 -3.988796e-04  9.347581e-05
##   -1.420909e-05 -9.136903e-06 -7.358808e-05 -2.434877e-04  5.731509e-05
##   -9.305339e-07 -7.877843e-07 -4.638525e-06 -1.426344e-05  3.130870e-06
##    1.879226e-05  9.970956e-06  9.933932e-05  3.407910e-04 -8.274768e-05
##   -2.360364e-05 -1.532524e-05 -1.221014e-04 -4.031646e-04  9.472549e-05
##    3.746397e-05  2.306065e-05  1.950060e-04  6.511306e-04 -1.545032e-04
##   -3.223586e-05 -2.124897e-05 -1.664514e-04 -5.477745e-04  1.283193e-04
##   -2.595084e-05 -1.669123e-05 -1.343941e-04 -4.446591e-04  1.046645e-04
##    8.385797e-06  4.763505e-06  4.402929e-05  1.492840e-04 -3.589264e-05
##   -6.076384e-05 -3.964642e-05 -3.141456e-04 -1.036160e-03  2.432180e-04
##   -2.000457e-05 -1.318548e-05 -1.032955e-04 -3.399403e-04  7.963415e-05
##    3.720595e-05  2.264124e-05  1.939115e-04  6.489604e-04 -1.542957e-04
##   -2.952985e-05 -1.928497e-05 -1.526507e-04 -5.033931e-04  1.181402e-04
##    7.325229e-06  4.439540e-06  3.819523e-05  1.279306e-04 -3.043787e-05
##    2.655251e-06  1.057038e-06  1.437167e-05  5.127642e-05 -1.284820e-05
##   -4.210591e-05 -2.805546e-05 -2.171294e-04 -7.128252e-04  1.666209e-04
##   -1.123445e-05 -7.473430e-06 -5.794479e-05 -1.902999e-04  4.449681e-05
##    2.593797e-05  1.544438e-05  1.355087e-04  4.554382e-04 -1.086837e-04
##   -1.263694e-05 -8.381148e-06 -6.520258e-05 -2.142808e-04  5.013469e-05
##    9.009835e-06  5.518276e-06  4.692401e-05  1.568382e-04 -3.724790e-05
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##   -1.615836e-05 -1.080765e-05 -8.328521e-05 -2.731843e-04  6.380617e-05
##   -1.770396e-05 -1.141401e-05 -9.165935e-05 -3.031111e-04  7.131432e-05
##    1.780856e-05  1.081458e-05  9.283692e-05  3.108245e-04 -7.392765e-05
##   -1.537749e-05 -1.014292e-05 -7.939619e-05 -2.612472e-04  6.119081e-05
##    3.454817e-06  1.957725e-06  1.814392e-05  6.154498e-05 -1.480286e-05
##    1.668036e-06  4.692972e-07  9.214050e-06  3.394143e-05 -8.711361e-06
##   -8.994578e-06 -6.121894e-06 -4.625995e-05 -1.511289e-04  3.517005e-05
##   -5.827474e-06 -3.797344e-06 -3.013237e-05 -9.941498e-05  2.334158e-05
##   -9.638591e-07 -8.036350e-07 -4.816434e-06 -1.488404e-05  3.283630e-06
##    4.955450e-02  1.271241e-02 -5.568921e-05 -1.814501e-04  4.212387e-05
##    1.222843e+00 -2.535896e-02 -3.845913e-06 -1.185473e-05  2.608577e-06
##   -2.535896e-02  1.299628e+00 -2.983681e-06 -7.650385e-06  1.336496e-06
##   -3.845913e-06 -2.983681e-06  1.346172e+00  1.210276e-01  1.137992e-02
##   -1.185473e-05 -7.650385e-06  1.210276e-01  4.783345e-01 -2.631468e-02
##    2.608577e-06  1.336496e-06  1.137992e-02 -2.631468e-02  1.365939e+00
##    1.603389e-06  5.947515e-07  8.719951e-06  3.135031e-05 -7.901597e-06
##   -2.068414e-06 -1.463958e-06 -1.058449e-05 -3.425527e-05  7.903216e-06
##   -6.705162e-06 -4.804740e-06 -3.425536e-05 -1.105207e-04  2.542574e-05
##   -9.709589e-06 -6.377411e-06 -5.015776e-05 -1.651954e-04  3.872557e-05
##   -8.057855e-07 -5.853746e-07 -4.108998e-06 -1.321092e-05  3.029312e-06
##   -8.945432e-06 -6.013337e-06 -4.607882e-05 -1.509702e-04  3.522476e-05
##   -7.747732e-06 -5.800539e-06 -3.934443e-05 -1.254965e-04  2.856160e-05
##   -1.519038e-05 -9.848701e-06 -7.859306e-05 -2.595855e-04  6.100773e-05
##    7.123169e-07 -1.330932e-07  4.252831e-06  1.745613e-05 -4.816292e-06
## d -3.160174e+00 -1.282180e+00 -2.257704e+00 -1.586872e+00 -1.341766e+00
##           [,41]         [,42]         [,43]         [,44]         [,45]
##   -4.360574e-03 -5.554818e-03 -1.895440e-02 -1.529761e-02 -2.174741e-03
##    6.118393e-05 -6.747359e-05 -2.177579e-04 -3.248701e-04 -2.603777e-05
##    3.767152e-05 -4.109302e-05 -1.325750e-04 -1.982283e-04 -1.584621e-05
##    1.919370e-06 -2.491562e-06 -8.078192e-06 -1.168491e-05 -9.709655e-07
##   -5.593217e-05  5.657384e-05  1.820747e-04  2.766333e-04  2.170240e-05
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##    8.396022e-05 -9.267868e-05 -2.991111e-04 -4.461543e-04 -3.576652e-05
##    6.878994e-05 -7.504619e-05 -2.421162e-04 -3.620076e-04 -2.893938e-05
##   -2.405082e-05  2.491441e-05  8.024696e-05  1.212936e-04  9.573672e-06
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##    5.210588e-05 -5.751451e-05 -1.856221e-04 -2.768760e-04 -2.219593e-05
##   -1.023521e-04  1.089525e-04  3.512345e-04  5.278390e-04  4.194513e-05
##    7.743349e-05 -8.508878e-05 -2.745773e-04 -4.099364e-04 -3.282769e-05
##   -2.020387e-05  2.147004e-05  6.921003e-05  1.040469e-04  8.264691e-06
##   -8.920135e-06  8.364241e-06  2.684797e-05  4.149537e-05  3.190470e-06
##    1.087987e-04 -1.207387e-04 -3.897357e-04 -5.807020e-04 -4.661168e-05
##    2.906420e-05 -3.222762e-05 -1.040258e-04 -1.550228e-04 -1.244094e-05
##   -7.233698e-05  7.631384e-05  2.459452e-04  3.703074e-04  2.936169e-05
##    3.276552e-05 -3.627745e-05 -1.170927e-04 -1.745484e-04 -1.400295e-05
##   -2.468320e-05  2.634672e-05  8.494231e-05  1.275794e-04  1.014498e-05
##    1.416410e-05 -1.670169e-05 -5.400867e-05 -7.951650e-05 -6.472468e-06
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##    4.212697e-05 -4.612005e-05 -1.488101e-04 -2.223380e-04 -1.778899e-05
##    1.255046e-05 -1.475157e-05 -4.769814e-05 -7.026883e-05 -5.715612e-06
##    4.163288e-05 -4.629069e-05 -1.494317e-04 -2.225652e-04 -1.787294e-05
##    4.685102e-05 -5.116884e-05 -1.650881e-04 -2.467804e-04 -1.973323e-05
##   -4.905600e-05  5.217374e-05  1.681898e-04  2.528039e-04  2.008493e-05
##    4.003274e-05 -4.420369e-05 -1.426643e-04 -2.127846e-04 -1.705942e-05
##   -9.922337e-06  1.026937e-05  3.307568e-05  5.000368e-05  3.945882e-06
##   -6.166708e-06  5.459602e-06  1.748688e-05  2.740067e-05  2.072917e-06
##    2.286911e-05 -2.565633e-05 -8.284406e-05 -1.231670e-04 -9.911702e-06
##    1.530511e-05 -1.680041e-05 -5.421233e-05 -8.095502e-05 -6.481232e-06
##    2.023852e-06 -2.593816e-06 -8.406913e-06 -1.218802e-05 -1.010097e-06
##    2.732751e-05 -3.084189e-05 -9.960610e-05 -1.479110e-04 -1.191959e-05
##    1.603389e-06 -2.068414e-06 -6.705162e-06 -9.709589e-06 -8.057855e-07
##    5.947515e-07 -1.463958e-06 -4.804740e-06 -6.377411e-06 -5.853746e-07
##    8.719951e-06 -1.058449e-05 -3.425536e-05 -5.015776e-05 -4.108998e-06
##    3.135031e-05 -3.425527e-05 -1.105207e-04 -1.651954e-04 -1.321092e-05
##   -7.901597e-06  7.903216e-06  2.542574e-05  3.872557e-05  3.029312e-06
##    1.536116e+00 -7.062325e-02  4.166299e-02  2.535535e-05  1.941936e-06
##   -7.062325e-02  5.154475e-01 -4.462626e-02 -2.793935e-05 -2.259521e-06
##    4.166299e-02 -4.462626e-02  1.203685e+00 -9.016659e-05 -7.303859e-06
##    2.535535e-05 -2.793935e-05 -9.016659e-05  6.513925e-01  1.865211e-01
##    1.941936e-06 -2.259521e-06 -7.303859e-06  1.865211e-01  7.445643e-01
##    2.296132e-05 -2.559527e-05 -8.263088e-05  1.075242e-01 -9.436281e-02
##    1.817441e-05 -2.154429e-05 -6.967887e-05 -1.024836e-04 -8.351832e-06
##    4.003952e-05 -4.384580e-05 -1.414731e-04 -2.113649e-04 -1.691207e-05
##   -3.597700e-06  2.682822e-06  8.530940e-06  1.398433e-05  1.002794e-06
## d -2.823970e+00 -1.653394e+00 -1.200168e+00 -2.045574e+00 -1.496240e+00
##           [,46]         [,47]         [,48]         [,49]        [,50]
##   -1.631687e-02 -2.702444e-03  2.196087e-02 -1.167126e-02   -6.4811485
##   -2.970361e-04 -2.475271e-04 -5.103644e-04  3.371403e-05   -2.0867323
##   -1.811429e-04 -1.505099e-04 -3.115077e-04  2.101529e-05   -1.7994511
##   -1.076837e-05 -9.339794e-06 -1.827786e-05  8.438410e-07   -1.3994352
##    2.517796e-04  2.048232e-04  4.356605e-04 -3.373317e-05   -6.6381877
##   -3.000568e-04 -2.496196e-04 -5.158146e-04  3.449571e-05   -6.2233860
##    4.835552e-04  3.996476e-04  8.328663e-04 -5.830409e-05   -1.3758931
##   -4.079488e-04 -3.400387e-04 -7.008811e-04  4.621453e-05   -4.9121115
##   -3.308079e-04 -2.748734e-04 -5.688784e-04  3.837008e-05   -4.9456600
##    1.105385e-04  9.054252e-05  1.908885e-04 -1.417012e-05   -1.2474400
##   -7.713277e-04 -6.420766e-04 -1.325709e-03  8.825839e-05   -9.5662871
##   -2.531659e-04 -2.110200e-04 -4.349558e-04  2.868201e-05   -6.7074211
##    4.817305e-04  3.976062e-04  8.300499e-04 -5.863500e-05   -0.9114839
##   -3.747455e-04 -3.119864e-04 -6.440661e-04  4.284180e-05   -3.3173145
##    9.494949e-05  7.833151e-05  1.636262e-04 -1.159524e-05   -2.6015272
##    3.760783e-05  2.990048e-05  6.549841e-05 -5.755179e-06   -1.2340677
##   -5.311196e-04 -4.433327e-04 -9.121123e-04  5.952013e-05   -6.1818072
##   -1.417805e-04 -1.183206e-04 -2.435008e-04  1.591501e-05   -5.9573411
##    3.377999e-04  2.781168e-04  5.824736e-04 -4.183241e-05   -1.2822346
##   -1.596260e-04 -1.331604e-04 -2.741818e-04  1.797277e-05   -4.1002366
##    1.164516e-04  9.618804e-05  2.006087e-04 -1.409948e-05   -3.3448028
##   -7.294778e-05 -6.184575e-05 -1.246912e-04  7.188036e-06   -0.9605782
##   -3.443074e-04 -2.874633e-04 -5.912524e-04  3.851746e-05   -4.5184521
##   -2.032125e-04 -1.690120e-04 -3.493596e-04  2.340560e-05   -4.4487109
##   -6.445393e-05 -5.460096e-05 -1.101992e-04  6.396159e-06   -1.2970740
##   -2.035818e-04 -1.700187e-04 -3.495660e-04  2.272531e-05   -2.7314883
##   -2.255245e-04 -1.874479e-04 -3.877920e-04  2.610043e-05   -1.5536348
##    2.307100e-04  1.903751e-04  3.975551e-04 -2.812908e-05   -1.3213093
##   -1.945663e-04 -1.621910e-04 -3.342686e-04  2.202742e-05   -4.4588607
##    4.556767e-05  3.731510e-05  7.869644e-05 -5.851260e-06   -4.1234614
##    2.475048e-05  1.931496e-05  4.332818e-05 -4.162782e-06   -0.9765132
##   -1.127128e-04 -9.435251e-05 -1.934011e-04  1.235270e-05   -1.7580223
##   -7.400141e-05 -6.159084e-05 -1.271951e-04  8.478052e-06   -1.9960823
##   -1.122544e-05 -9.708014e-06 -1.907096e-05  9.088087e-07   -1.3699801
##   -1.353975e-04 -1.135188e-04 -2.322168e-04  1.465609e-05   -3.0737694
##   -8.945432e-06 -7.747732e-06 -1.519038e-05  7.123169e-07   -3.1601740
##   -6.013337e-06 -5.800539e-06 -9.848701e-06 -1.330932e-07   -1.2821800
##   -4.607882e-05 -3.934443e-05 -7.859306e-05  4.252831e-06   -2.2577037
##   -1.509702e-04 -1.254965e-04 -2.595855e-04  1.745613e-05   -1.5868724
##    3.522476e-05  2.856160e-05  6.100773e-05 -4.816292e-06   -1.3417663
##    2.296132e-05  1.817441e-05  4.003952e-05 -3.597700e-06   -2.8239701
##   -2.559527e-05 -2.154429e-05 -4.384580e-05  2.682822e-06   -1.6533939
##   -8.263088e-05 -6.967887e-05 -1.414731e-04  8.530940e-06   -1.2001677
##    1.075242e-01 -1.024836e-04 -2.113649e-04  1.398433e-05   -2.0455745
##   -9.436281e-02 -8.351832e-06 -1.691207e-05  1.002794e-06   -1.4962401
##    9.104730e-01 -9.404193e-05 -1.931859e-04  1.249632e-05   -1.0326649
##   -9.404193e-05  2.283718e+00  1.073640e-01 -1.830351e-01   -4.4084055
##   -1.931859e-04  1.073640e-01  6.852378e-01 -1.370289e-02   -4.2974092
##    1.249632e-05 -1.830351e-01 -1.370289e-02  1.311735e+00   -1.2838860
## d -1.032665e+00 -4.408406e+00 -4.297409e+00 -1.283886e+00 1527.5000000
## 
## Model rank =  1025 / 1025 
## 
## Basis dimension (k) checking results. Low p-value (k-index<1) may
## indicate that k is too low, especially if edf is close to k'.
## 
##                                 k'   edf k-index p-value    
## s(bb.sp)                     16.00 12.96      NA      NA    
## te(yday,elev.mean):bb.spbss  63.00 10.57    0.45  <2e-16 ***
## te(yday,elev.mean):bb.spgers 63.00 28.47    0.45  <2e-16 ***
## te(yday,elev.mean):bb.sphort 63.00 22.21    0.45  <2e-16 ***
## te(yday,elev.mean):bb.sphumi 63.00 34.37    0.45  <2e-16 ***
## te(yday,elev.mean):bb.sphypn 63.00 14.31    0.45  <2e-16 ***
## te(yday,elev.mean):bb.spjone 63.00 26.84    0.45  <2e-16 ***
## te(yday,elev.mean):bb.splapi 63.00 16.81    0.45  <2e-16 ***
## te(yday,elev.mean):bb.spmend 63.00 20.53    0.45  <2e-16 ***
## te(yday,elev.mean):bb.spmont 63.00 11.21    0.45  <2e-16 ***
## te(yday,elev.mean):bb.spmuci 63.00 19.12    0.45  <2e-16 ***
## te(yday,elev.mean):bb.sppasc 63.00 10.25    0.45  <2e-16 ***
## te(yday,elev.mean):bb.spprat 63.00 15.03    0.45  <2e-16 ***
## te(yday,elev.mean):bb.sppsit 63.00 10.37    0.45  <2e-16 ***
## te(yday,elev.mean):bb.sppyre 63.00 11.36    0.45  <2e-16 ***
## te(yday,elev.mean):bb.spsoro 63.00  9.15    0.45  <2e-16 ***
## te(yday,elev.mean):bb.spwurf 63.00 19.98    0.45  <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

weighted_fl_abundance.2010.sum <- summary(weighted_fl_abundance.2010)
print(plot(weighted_fl_abundance.2010, allTerms = TRUE), pages = 4)

## Hit <Return> to see next plot:

## Hit <Return> to see next plot:

## Hit <Return> to see next plot:

## Hit <Return> to see next plot:

weighted_fl_abundance.2010.ck <- check2D(weighted_fl_abundance.2010, 
                                         x1 = "yday", x2 = "elev.mean")

### 2011
weighted_fl_abundance.2011 <- bam(log(fl.abund.wt + 0.001) ~
                                      s(bb.sp, bs = "re") +
                                      #s(management, bs = "re") +
                                      #s(site, bs = "re") +
                                      te(yday, elev.mean, 
                                                by = bb.sp,
                                                #id = 0,
                                                bs= c("gp", "tp"), 
                                                k=c(8, 8), 
                                                m=2),
                                    data = filter(fl_abund_wt, year == 2011),
                                    discrete = TRUE,
                                    family = "gaussian",
                                    select = TRUE,
                                    method = "fREML") %>% getViz(nsim = 500)

check.gamViz(weighted_fl_abundance.2011)

## 
## Method: fREML   Optimizer: perf chol
## $grad
##  [1]  1.332268e-14 -5.773160e-15 -7.549517e-15  0.000000e+00  7.105427e-15
##  [6]  0.000000e+00 -1.776357e-15  1.865175e-14  8.881784e-15 -2.664535e-15
## [11]  3.552714e-15  3.552714e-15  2.220446e-15 -1.687539e-14  7.993606e-15
## [16]  1.110223e-15 -9.769963e-15  9.769963e-15  6.661338e-16  5.329071e-15
## [21]  1.065814e-14 -2.220446e-15  1.154632e-14 -5.329071e-15 -6.661338e-16
## [26]  6.143530e-12 -6.710188e-12 -1.069123e-11  0.000000e+00  1.243450e-14
## [31]  1.110223e-15  1.776357e-15  1.598721e-14  0.000000e+00 -1.776357e-15
## [36]  1.776357e-14  1.554312e-15 -2.753353e-14 -8.704149e-14 -5.773160e-15
## [41] -8.881784e-16  0.000000e+00  6.661338e-16  3.552714e-14  8.881784e-15
## [46]  2.886580e-15  0.000000e+00 -8.881784e-16  8.881784e-16  3.660716e-11
## 
## $hess
##            [,1]          [,2]          [,3]          [,4]          [,5]
##    7.088195e+00 -2.139384e-02 -7.747416e-03 -6.462953e-03 -1.022970e-02
##   -2.139384e-02  2.230588e+00  3.443033e-01 -7.087511e-03  2.906091e-06
##   -7.747416e-03  3.443033e-01  8.663631e-01 -3.559755e-02  1.027082e-06
##   -6.462953e-03 -7.087511e-03 -3.559755e-02  1.336815e+00  8.973215e-07
##   -1.022970e-02  2.906091e-06  1.027082e-06  8.973215e-07  2.610452e+00
##    4.907916e-02 -1.522060e-05 -5.386719e-06 -4.694032e-06  3.906277e-01
##   -7.957060e-03  2.442312e-06  8.642234e-07  7.533119e-07 -5.962559e-03
##   -1.831509e-02 -3.534154e-05 -1.250786e-05 -1.089922e-05  7.167565e-06
##   -4.238000e-03 -8.067071e-06 -2.855144e-06 -2.487785e-06  1.635602e-06
##   -3.272713e-03 -6.658864e-06 -2.356367e-06 -2.053801e-06  1.351927e-06
##    2.945750e-03 -2.306871e-05 -8.164792e-06 -7.113968e-06  4.676314e-06
##   -1.111996e-03  4.150767e-06  1.468126e-06  1.280764e-06 -8.461427e-07
##    1.562075e-03 -9.566039e-06 -3.385175e-06 -2.950427e-06  1.941923e-06
##   -1.430771e-02 -1.994875e-05 -7.060904e-06 -6.151542e-06  4.042040e-06
##   -1.377506e-02 -2.026850e-05 -7.172807e-06 -6.251122e-06  4.113048e-06
##   -1.546847e-03 -2.316337e-06 -8.196810e-07 -7.144296e-07  4.702733e-07
##   -1.263479e-03 -6.005057e-06 -2.126763e-06 -1.850798e-06  1.210610e-06
##   -4.813566e-04 -6.877650e-06 -2.434190e-06 -2.120972e-06  1.394383e-06
##   -9.485812e-05 -2.443068e-06 -8.645424e-07 -7.535061e-07  4.959304e-07
##    1.230200e-02 -3.019125e-05 -1.068488e-05 -9.311057e-06  6.124137e-06
##    1.035809e-02 -2.514244e-05 -8.897881e-06 -7.754135e-06  5.100931e-06
##    2.135131e-03 -4.941485e-06 -1.748621e-06 -1.524122e-06  1.003342e-06
##   -3.620972e-03  7.675500e-06  2.714578e-06  2.368547e-06 -1.565862e-06
##   -6.430430e-04  4.381324e-07  1.542266e-07  1.357586e-07 -9.292658e-08
##    3.966332e-03 -1.126263e-05 -3.985474e-06 -3.473763e-06  2.286726e-06
##   -1.017618e-03  7.078757e-07  2.487554e-07  2.196651e-07 -1.522019e-07
##   -7.309507e-04 -1.424714e-05 -5.042012e-06 -4.393963e-06  2.890654e-06
##   -8.700460e-05 -2.005276e-06 -7.096335e-07 -6.184679e-07  4.069869e-07
##   -1.180280e-02 -2.197327e-05 -7.776646e-06 -6.776483e-06  4.456352e-06
##    2.206352e-03  5.558079e-06  1.965779e-06  1.715092e-06 -1.133576e-06
##   -3.579712e-03 -7.030244e-06 -2.487773e-06 -2.168356e-06  1.427392e-06
##   -1.704936e-02 -2.107534e-05 -7.459424e-06 -6.499128e-06  4.271475e-06
##   -6.052351e-03 -7.426749e-06 -2.628705e-06 -2.290174e-06  1.504865e-06
##   -4.869131e-03 -6.369750e-06 -2.254040e-06 -1.964643e-06  1.293316e-06
##    2.682190e-03 -3.155079e-05 -1.116625e-05 -9.730173e-06  6.398828e-06
##    1.280840e-03 -1.424901e-05 -5.042800e-06 -4.394441e-06  2.890412e-06
##    5.010913e-04 -4.557164e-06 -1.612652e-06 -1.405562e-06  9.251647e-07
##   -1.049001e-02 -1.569798e-05 -5.556300e-06 -4.840770e-06  3.180914e-06
##   -1.510253e-02 -2.426323e-05 -8.586112e-06 -7.483457e-06  4.925580e-06
##   -3.902784e-03 -6.268093e-06 -2.218113e-06 -1.933253e-06  1.272450e-06
##    6.936275e-03 -9.732482e-06 -3.444521e-06 -3.001420e-06  1.973534e-06
##    3.153339e-04 -1.126218e-06 -3.994017e-07 -3.466951e-07  2.244200e-07
##    3.159560e-03 -4.247714e-06 -1.503131e-06 -1.310130e-06  8.624158e-07
##   -2.267535e-02 -4.162612e-05 -1.473178e-05 -1.283758e-05  8.443521e-06
##   -9.626067e-03 -1.809343e-05 -6.403007e-06 -5.580346e-06  3.671982e-06
##   -3.228337e-03 -6.190250e-06 -2.190533e-06 -1.909270e-06  1.256814e-06
##   -4.925919e-04 -6.736224e-06 -2.384474e-06 -2.077099e-06  1.364062e-06
##   -3.839934e-04  1.212559e-05  4.290071e-06  3.740526e-06 -2.465734e-06
##   -4.349347e-05 -3.607857e-06 -1.276734e-06 -1.112757e-06  7.323720e-07
## d -7.282607e+00 -3.554998e+00 -2.930917e+00 -1.414250e+00 -4.957442e+00
##            [,6]          [,7]          [,8]          [,9]         [,10]
##    4.907916e-02 -7.957060e-03 -1.831509e-02 -4.238000e-03 -3.272713e-03
##   -1.522060e-05  2.442312e-06 -3.534154e-05 -8.067071e-06 -6.658864e-06
##   -5.386719e-06  8.642234e-07 -1.250786e-05 -2.855144e-06 -2.356367e-06
##   -4.694032e-06  7.533119e-07 -1.089922e-05 -2.487785e-06 -2.053801e-06
##    3.906277e-01 -5.962559e-03  7.167565e-06  1.635602e-06  1.351927e-06
##    9.945484e-01  5.694506e-02 -3.753516e-05 -8.567739e-06 -7.072321e-06
##    5.694506e-02  1.375200e+00  6.023014e-06  1.374764e-06  1.134983e-06
##   -3.753516e-05  6.023014e-06  5.364430e+00  8.980568e-01  6.125649e-02
##   -8.567739e-06  1.374764e-06  8.980568e-01  2.907961e+00 -1.240838e-02
##   -7.072321e-06  1.134983e-06  6.125649e-02 -1.240838e-02  1.199629e+00
##   -2.450034e-05  3.931198e-06 -5.688885e-05 -1.298557e-05 -1.071836e-05
##    4.408840e-06 -7.078612e-07  1.023668e-05  2.336331e-06  1.929658e-06
##   -1.015998e-05  1.630476e-06 -2.359080e-05 -5.384703e-06 -4.445288e-06
##   -2.118657e-05  3.399317e-06 -4.919458e-05 -1.122938e-05 -9.268316e-06
##   -2.152680e-05  3.454486e-06 -4.998394e-05 -1.140915e-05 -9.418319e-06
##   -2.460160e-06  3.948121e-07 -5.712324e-06 -1.303859e-06 -1.076402e-06
##   -6.377049e-06  1.022604e-06 -1.480794e-05 -3.380538e-06 -2.788563e-06
##   -7.304492e-06  1.172060e-06 -1.696073e-05 -3.871479e-06 -3.195592e-06
##   -2.594754e-06  4.164051e-07 -6.024848e-06 -1.375199e-06 -1.135277e-06
##   -3.206531e-05  5.145406e-06 -7.445399e-05 -1.699476e-05 -1.402861e-05
##   -2.670319e-05  4.285052e-06 -6.200334e-05 -1.415273e-05 -1.168285e-05
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##    4.657390e-07 -7.511394e-08  1.081012e-06  2.464800e-07  2.045225e-07
##   -1.196195e-05  1.919693e-06 -2.777482e-05 -6.339697e-06 -5.233776e-06
##    7.526876e-07 -1.215852e-07  1.746830e-06  3.981549e-07  3.309189e-07
##   -1.513157e-05  2.428174e-06 -3.513466e-05 -8.019741e-06 -6.620213e-06
##   -2.129772e-06  3.417782e-07 -4.945198e-06 -1.128769e-06 -9.318208e-07
##   -2.333712e-05  3.744750e-06 -5.418769e-05 -1.236886e-05 -1.020987e-05
##    5.903706e-06 -9.479209e-07  1.370748e-05  3.128440e-06  2.584034e-06
##   -7.466766e-06  1.198291e-06 -1.733731e-05 -3.957301e-06 -3.266973e-06
##   -2.238318e-05  3.591418e-06 -5.197296e-05 -1.186351e-05 -9.792006e-06
##   -7.887585e-06  1.265542e-06 -1.831473e-05 -4.180602e-06 -3.450526e-06
##   -6.765264e-06  1.085714e-06 -1.570847e-05 -3.585510e-06 -2.960046e-06
##   -3.350913e-05  5.376990e-06 -7.780659e-05 -1.776009e-05 -1.466009e-05
##   -1.513349e-05  2.428424e-06 -3.513918e-05 -8.020815e-06 -6.620937e-06
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##   -6.657273e-06  1.068362e-06 -1.545774e-05 -3.528296e-06 -2.912754e-06
##   -1.033654e-05  1.658607e-06 -2.400098e-05 -5.478472e-06 -4.522128e-06
##   -1.195718e-06  1.914966e-07 -2.776803e-06 -6.340975e-07 -5.223720e-07
##   -4.511461e-06  7.240118e-07 -1.047530e-05 -2.391025e-06 -1.973919e-06
##   -4.420996e-05  7.094204e-06 -1.026533e-04 -2.343150e-05 -1.934189e-05
##   -1.921672e-05  3.083810e-06 -4.462006e-05 -1.018479e-05 -8.407685e-06
##   -6.574613e-06  1.055113e-06 -1.526580e-05 -3.484472e-06 -2.876619e-06
##   -7.154122e-06  1.147778e-06 -1.661174e-05 -3.791929e-06 -3.129498e-06
##    1.287888e-05 -2.067200e-06  2.990349e-05  6.825320e-06  5.635678e-06
##   -3.831861e-06  6.149353e-07 -8.897331e-06 -2.030856e-06 -1.676545e-06
## d -4.863697e+00 -1.442659e+00 -7.521675e+00 -6.453426e+00 -1.338391e+00
##           [,11]         [,12]         [,13]         [,14]         [,15]
##    2.945750e-03 -1.111996e-03  1.562075e-03 -1.430771e-02 -1.377506e-02
##   -2.306871e-05  4.150767e-06 -9.566039e-06 -1.994875e-05 -2.026850e-05
##   -8.164792e-06  1.468126e-06 -3.385175e-06 -7.060904e-06 -7.172807e-06
##   -7.113968e-06  1.280764e-06 -2.950427e-06 -6.151542e-06 -6.251122e-06
##    4.676314e-06 -8.461427e-07  1.941923e-06  4.042040e-06  4.113048e-06
##   -2.450034e-05  4.408840e-06 -1.015998e-05 -2.118657e-05 -2.152680e-05
##    3.931198e-06 -7.078612e-07  1.630476e-06  3.399317e-06  3.454486e-06
##   -5.688885e-05  1.023668e-05 -2.359080e-05 -4.919458e-05 -4.998394e-05
##   -1.298557e-05  2.336331e-06 -5.384703e-06 -1.122938e-05 -1.140915e-05
##   -1.071836e-05  1.929658e-06 -4.445288e-06 -9.268316e-06 -9.418319e-06
##    4.318840e+00  5.367704e-01  1.573560e-01 -3.211210e-05 -3.262540e-05
##    5.367704e-01  4.117616e+00 -1.366122e-01  5.775791e-06  5.872304e-06
##    1.573560e-01 -1.366122e-01  6.142772e-01 -1.331485e-05 -1.353014e-05
##   -3.211210e-05  5.775791e-06 -1.331485e-05  6.193061e+00  8.366809e-01
##   -3.262540e-05  5.872304e-06 -1.353014e-05  8.366809e-01  3.309100e+00
##   -3.728464e-06  6.712435e-07 -1.546326e-06  3.612615e-02  4.473209e-03
##   -9.667924e-06  1.734768e-06 -4.006254e-06 -8.362210e-06 -8.489954e-06
##   -1.107097e-05  1.991818e-06 -4.590756e-06 -9.573734e-06 -9.726942e-06
##   -3.932473e-06  7.079227e-07 -1.630907e-06 -3.400485e-06 -3.455451e-06
##   -4.859823e-05  8.745587e-06 -2.015326e-05 -4.202500e-05 -4.270029e-05
##   -4.047105e-05  7.283664e-06 -1.678335e-05 -3.499683e-05 -3.556000e-05
##   -7.953982e-06  1.432039e-06 -3.298836e-06 -6.877896e-06 -6.989290e-06
##    1.235306e-05 -2.229031e-06  5.126224e-06  1.067991e-05  1.085943e-05
##    7.043276e-07 -1.294793e-07  2.936764e-07  6.080129e-07  6.213725e-07
##   -1.812873e-05  3.263845e-06 -7.518678e-06 -1.567614e-05 -1.592995e-05
##    1.137487e-06 -2.105007e-07  4.751012e-07  9.814042e-07  1.004801e-06
##   -2.293317e-05  4.127451e-06 -9.510460e-06 -1.983112e-05 -2.015040e-05
##   -3.227800e-06  5.810178e-07 -1.338630e-06 -2.791159e-06 -2.836211e-06
##   -3.537010e-05  6.364547e-06 -1.466735e-05 -3.058626e-05 -3.107703e-05
##    8.945321e-06 -1.613914e-06  3.711971e-06  7.733814e-06  7.863532e-06
##   -1.131613e-05  2.037321e-06 -4.693231e-06 -9.785201e-06 -9.943627e-06
##   -3.392534e-05  6.102710e-06 -1.406715e-05 -2.933763e-05 -2.980591e-05
##   -1.195505e-05  2.150308e-06 -4.957021e-06 -1.033847e-05 -1.050317e-05
##   -1.025297e-05  1.845932e-06 -4.252308e-06 -8.865865e-06 -9.009431e-06
##   -5.078691e-05  9.138723e-06 -2.106046e-05 -4.391792e-05 -4.462267e-05
##   -2.293632e-05  4.127599e-06 -9.511520e-06 -1.983401e-05 -2.015278e-05
##   -7.335398e-06  1.320573e-06 -3.042228e-06 -6.343037e-06 -6.445642e-06
##   -2.526947e-05  4.545166e-06 -1.047771e-05 -2.185247e-05 -2.220066e-05
##   -3.905513e-05  7.030875e-06 -1.619736e-05 -3.377165e-05 -3.431778e-05
##   -1.008939e-05  1.816329e-06 -4.184377e-06 -8.724475e-06 -8.865553e-06
##   -1.566632e-05  2.818826e-06 -6.496432e-06 -1.354751e-05 -1.376463e-05
##   -1.813769e-06  3.236872e-07 -7.505666e-07 -1.569487e-06 -1.591141e-06
##   -6.837277e-06  1.230947e-06 -2.835670e-06 -5.912285e-06 -6.007987e-06
##   -6.700473e-05  1.205788e-05 -2.778623e-05 -5.794192e-05 -5.887288e-05
##   -2.912420e-05  5.242330e-06 -1.207827e-05 -2.518449e-05 -2.559079e-05
##   -9.964054e-06  1.793878e-06 -4.132462e-06 -8.616050e-06 -8.755522e-06
##   -1.084370e-05  1.949818e-06 -4.495862e-06 -9.377620e-06 -9.526230e-06
##    1.951692e-05 -3.516327e-06  8.095910e-06  1.687554e-05  1.715213e-05
##   -5.807371e-06  1.045438e-06 -2.408478e-06 -5.021746e-06 -5.102915e-06
## d -8.142531e+00 -6.964410e+00 -9.381385e-01 -7.723212e+00 -6.573774e+00
##           [,16]         [,17]         [,18]         [,19]         [,20]
##   -1.546847e-03 -1.263479e-03 -4.813566e-04 -9.485812e-05  1.230200e-02
##   -2.316337e-06 -6.005057e-06 -6.877650e-06 -2.443068e-06 -3.019125e-05
##   -8.196810e-07 -2.126763e-06 -2.434190e-06 -8.645424e-07 -1.068488e-05
##   -7.144296e-07 -1.850798e-06 -2.120972e-06 -7.535061e-07 -9.311057e-06
##    4.702733e-07  1.210610e-06  1.394383e-06  4.959304e-07  6.124137e-06
##   -2.460160e-06 -6.377049e-06 -7.304492e-06 -2.594754e-06 -3.206531e-05
##    3.948121e-07  1.022604e-06  1.172060e-06  4.164051e-07  5.145406e-06
##   -5.712324e-06 -1.480794e-05 -1.696073e-05 -6.024848e-06 -7.445399e-05
##   -1.303859e-06 -3.380538e-06 -3.871479e-06 -1.375199e-06 -1.699476e-05
##   -1.076402e-06 -2.788563e-06 -3.195592e-06 -1.135277e-06 -1.402861e-05
##   -3.728464e-06 -9.667924e-06 -1.107097e-05 -3.932473e-06 -4.859823e-05
##    6.712435e-07  1.734768e-06  1.991818e-06  7.079227e-07  8.745587e-06
##   -1.546326e-06 -4.006254e-06 -4.590756e-06 -1.630907e-06 -2.015326e-05
##    3.612615e-02 -8.362210e-06 -9.573734e-06 -3.400485e-06 -4.202500e-05
##    4.473209e-03 -8.489954e-06 -9.726942e-06 -3.455451e-06 -4.270029e-05
##    1.386656e+00 -9.700275e-07 -1.111611e-06 -3.949145e-07 -4.879959e-06
##   -9.700275e-07  3.921174e+00  5.432990e-01 -4.803340e-03 -1.264888e-05
##   -1.111611e-06  5.432990e-01  2.989134e+00 -9.056964e-02 -1.448901e-05
##   -3.949145e-07 -4.803340e-03 -9.056964e-02  1.307443e+00 -5.146933e-06
##   -4.879959e-06 -1.264888e-05 -1.448901e-05 -5.146933e-06  6.502696e+00
##   -4.063968e-06 -1.053271e-05 -1.206601e-05 -4.286291e-06  1.149432e+00
##   -7.987955e-07 -2.069278e-06 -2.371417e-06 -8.424859e-07  3.204178e-02
##    1.241343e-06  3.206682e-06  3.683176e-06  1.309162e-06  1.617245e-05
##    7.114201e-08  1.794573e-07  2.101018e-07  7.499213e-08  9.241130e-07
##   -1.820607e-06 -4.716389e-06 -5.404936e-06 -1.920186e-06 -2.372766e-05
##    1.151069e-07  2.878549e-07  3.393723e-07  1.213151e-07  1.493616e-06
##   -2.302891e-06 -5.968257e-06 -6.837284e-06 -2.428870e-06 -3.001476e-05
##   -3.241408e-07 -8.398976e-07 -9.623383e-07 -3.418715e-07 -4.224594e-06
##   -3.551582e-06 -9.206707e-06 -1.054517e-05 -3.745890e-06 -4.629105e-05
##    8.988717e-07  2.322382e-06  2.667120e-06  9.479836e-07  1.171091e-05
##   -1.136440e-06 -2.944021e-06 -3.373814e-06 -1.198599e-06 -1.481104e-05
##   -3.406226e-06 -8.833281e-06 -1.011436e-05 -3.592610e-06 -4.439864e-05
##   -1.200293e-06 -3.113131e-06 -3.564218e-06 -1.265975e-06 -1.564556e-05
##   -1.029673e-06 -2.667401e-06 -3.056842e-06 -1.085992e-06 -1.341954e-05
##   -5.099622e-06 -1.321957e-05 -1.514151e-05 -5.378624e-06 -6.646804e-05
##   -2.303143e-06 -5.969667e-06 -6.838205e-06 -2.429143e-06 -3.001853e-05
##   -7.366582e-07 -1.908486e-06 -2.186987e-06 -7.769514e-07 -9.600825e-06
##   -2.537073e-06 -6.580180e-06 -7.533712e-06 -2.675906e-06 -3.307016e-05
##   -3.922098e-06 -1.016133e-05 -1.164396e-05 -4.136628e-06 -5.111662e-05
##   -1.013223e-06 -2.625059e-06 -3.008066e-06 -1.068644e-06 -1.320532e-05
##   -1.573057e-06 -4.078163e-06 -4.670718e-06 -1.659122e-06 -2.050333e-05
##   -1.817137e-07 -4.759140e-07 -5.406409e-07 -1.916966e-07 -2.371525e-06
##   -6.866419e-07 -1.778817e-06 -2.038479e-06 -7.241986e-07 -8.948909e-06
##   -6.728224e-06 -1.743974e-05 -1.997670e-05 -7.096313e-06 -8.769408e-05
##   -2.924675e-06 -7.578550e-06 -8.683103e-06 -3.084660e-06 -3.811808e-05
##   -1.000653e-06 -2.592290e-06 -2.970703e-06 -1.055385e-06 -1.304137e-05
##   -1.088621e-06 -2.824572e-06 -3.232859e-06 -1.148202e-06 -1.419063e-05
##    1.960409e-06  5.073928e-06  5.818922e-06  2.067596e-06  2.554675e-05
##   -5.831986e-07 -1.510999e-06 -1.731417e-06 -6.150987e-07 -7.600850e-06
## d -1.445013e+00 -6.324542e+00 -5.933527e+00 -1.387541e+00 -7.843961e+00
##           [,21]         [,22]         [,23]         [,24]         [,25]
##    1.035809e-02  2.135131e-03 -3.620972e-03 -6.430430e-04  3.966332e-03
##   -2.514244e-05 -4.941485e-06  7.675500e-06  4.381324e-07 -1.126263e-05
##   -8.897881e-06 -1.748621e-06  2.714578e-06  1.542266e-07 -3.985474e-06
##   -7.754135e-06 -1.524122e-06  2.368547e-06  1.357586e-07 -3.473763e-06
##    5.100931e-06  1.003342e-06 -1.565862e-06 -9.292658e-08  2.286726e-06
##   -2.670319e-05 -5.248317e-06  8.152843e-06  4.657390e-07 -1.196195e-05
##    4.285052e-06  8.422710e-07 -1.309091e-06 -7.511394e-08  1.919693e-06
##   -6.200334e-05 -1.218622e-05  1.892958e-05  1.081012e-06 -2.777482e-05
##   -1.415273e-05 -2.781544e-06  4.320244e-06  2.464800e-07 -6.339697e-06
##   -1.168285e-05 -2.296331e-06  3.568556e-06  2.045225e-07 -5.233776e-06
##   -4.047105e-05 -7.953982e-06  1.235306e-05  7.043276e-07 -1.812873e-05
##    7.283664e-06  1.432039e-06 -2.229031e-06 -1.294793e-07  3.263845e-06
##   -1.678335e-05 -3.298836e-06  5.126224e-06  2.936764e-07 -7.518678e-06
##   -3.499683e-05 -6.877896e-06  1.067991e-05  6.080129e-07 -1.567614e-05
##   -3.556000e-05 -6.989290e-06  1.085943e-05  6.213725e-07 -1.592995e-05
##   -4.063968e-06 -7.987955e-07  1.241343e-06  7.114201e-08 -1.820607e-06
##   -1.053271e-05 -2.069278e-06  3.206682e-06  1.794573e-07 -4.716389e-06
##   -1.206601e-05 -2.371417e-06  3.683176e-06  2.101018e-07 -5.404936e-06
##   -4.286291e-06 -8.424859e-07  1.309162e-06  7.499213e-08 -1.920186e-06
##    1.149432e+00  3.204178e-02  1.617245e-05  9.241130e-07 -2.372766e-05
##    2.555229e+00 -4.213753e-02  1.346920e-05  7.701103e-07 -1.976012e-05
##   -4.213753e-02  1.410914e+00  2.648313e-06  1.518260e-07 -3.883976e-06
##    1.346920e-05  2.648313e-06  6.484145e+00  8.686983e-01 -8.712615e-03
##    7.701103e-07  1.518260e-07  8.686983e-01  3.702119e+00 -2.618258e-02
##   -1.976012e-05 -3.883976e-06 -8.712615e-03 -2.618258e-02  1.148218e+00
##    1.244976e-06  2.456815e-07 -3.907266e-07 -2.667253e-08  5.598458e-07
##   -2.499567e-05 -4.912823e-06  7.632655e-06  4.364902e-07 -1.119728e-05
##   -3.518171e-06 -6.915006e-07  1.074465e-06  6.151081e-08 -1.576063e-06
##   -3.854998e-05 -7.576665e-06  1.176927e-05  6.721012e-07 -1.726872e-05
##    9.753376e-06  1.917671e-06 -2.985519e-06 -1.736988e-07  4.370672e-06
##   -1.233446e-05 -2.424415e-06  3.767670e-06  2.159671e-07 -5.525701e-06
##   -3.697366e-05 -7.266535e-06  1.128461e-05  6.430261e-07 -1.656191e-05
##   -1.302904e-05 -2.560591e-06  3.976104e-06  2.263860e-07 -5.836112e-06
##   -1.117564e-05 -2.196645e-06  3.413733e-06  1.956932e-07 -5.006571e-06
##   -5.535286e-05 -1.087913e-05  1.689926e-05  9.650962e-07 -2.479570e-05
##   -2.499872e-05 -4.913352e-06  7.632823e-06  4.361864e-07 -1.119850e-05
##   -7.995439e-06 -1.571542e-06  2.442151e-06  1.399348e-07 -3.581843e-06
##   -2.753960e-05 -5.412354e-06  8.404414e-06  4.785536e-07 -1.233586e-05
##   -4.256921e-05 -8.367163e-06  1.300225e-05  7.449372e-07 -1.907036e-05
##   -1.099720e-05 -2.161547e-06  3.358951e-06  1.924390e-07 -4.926578e-06
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##   -1.974422e-06 -3.875977e-07  5.978812e-07  3.213149e-08 -8.834632e-07
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## d -6.173885e+00 -5.917124e+00 -1.436881e-01 -6.900532e+00 -6.568290e+00
##           [,31]         [,32]         [,33]         [,34]         [,35]
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## d -1.389653e+00 -6.969264e+00 -6.301418e+00 -1.412778e+00 -5.994418e+00
##           [,36]         [,37]         [,38]         [,39]         [,40]
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## d -5.754805e+00 -1.345914e+00 -3.753823e+00 -5.248528e+00 -1.197845e+00
##           [,41]         [,42]         [,43]         [,44]         [,45]
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##    2.818826e-06  3.236872e-07  1.230947e-06  1.205788e-05  5.242330e-06
##   -6.496432e-06 -7.505666e-07 -2.835670e-06 -2.778623e-05 -1.207827e-05
##   -1.354751e-05 -1.569487e-06 -5.912285e-06 -5.794192e-05 -2.518449e-05
##   -1.376463e-05 -1.591141e-06 -6.007987e-06 -5.887288e-05 -2.559079e-05
##   -1.573057e-06 -1.817137e-07 -6.866419e-07 -6.728224e-06 -2.924675e-06
##   -4.078163e-06 -4.759140e-07 -1.778817e-06 -1.743974e-05 -7.578550e-06
##   -4.670718e-06 -5.406409e-07 -2.038479e-06 -1.997670e-05 -8.683103e-06
##   -1.659122e-06 -1.916966e-07 -7.241986e-07 -7.096313e-06 -3.084660e-06
##   -2.050333e-05 -2.371525e-06 -8.948909e-06 -8.769408e-05 -3.811808e-05
##   -1.707460e-05 -1.974422e-06 -7.452541e-06 -7.302952e-05 -3.174407e-05
##   -3.355831e-06 -3.875977e-07 -1.464841e-06 -1.435348e-05 -6.239308e-06
##    5.212499e-06  5.978812e-07  2.276417e-06  2.229758e-05  9.694497e-06
##    2.975209e-07  3.213149e-08  1.304755e-07  1.274050e-06  5.548760e-07
##   -7.648608e-06 -8.834632e-07 -3.338651e-06 -3.271442e-05 -1.422059e-05
##    4.806836e-07  5.075115e-08  2.111152e-07  2.059173e-06  8.973648e-07
##   -9.675442e-06 -1.118722e-06 -4.223062e-06 -4.138276e-05 -1.798808e-05
##   -1.361812e-06 -1.573865e-07 -5.944127e-07 -5.824644e-06 -2.531865e-06
##   -1.492238e-05 -1.726458e-06 -6.512916e-06 -6.382368e-05 -2.774209e-05
##    3.774542e-06  4.331230e-07  1.648380e-06  1.614629e-05  7.019967e-06
##   -4.774336e-06 -5.514690e-07 -2.084018e-06 -2.042066e-05 -8.876628e-06
##   -1.431259e-05 -1.657467e-06 -6.246351e-06 -6.121456e-05 -2.660725e-05
##   -5.043624e-06 -5.842797e-07 -2.201101e-06 -2.157130e-05 -9.375990e-06
##   -4.325785e-06 -4.996425e-07 -1.888228e-06 -1.850214e-05 -8.042677e-06
##   -2.142662e-05 -2.478928e-06 -9.351724e-06 -9.164265e-05 -3.983412e-05
##   -9.676713e-06 -1.119218e-06 -4.223522e-06 -4.138796e-05 -1.799017e-05
##   -3.094834e-06 -3.575329e-07 -1.350892e-06 -1.323710e-05 -5.753989e-06
##   -1.066075e-05 -1.234958e-06 -4.652494e-06 -4.559545e-05 -1.981813e-05
##   -1.647750e-05 -1.903675e-06 -7.192389e-06 -7.047684e-05 -3.063529e-05
##   -4.256750e-06 -4.917956e-07 -1.858059e-06 -1.820678e-05 -7.914227e-06
##    3.874259e+00  5.364492e-01  7.651803e-03 -2.826892e-05 -1.228751e-05
##    5.364492e-01  2.139402e+00 -5.515186e-03 -3.269801e-06 -1.420212e-06
##    7.651803e-03 -5.515186e-03  1.362232e+00 -1.233827e-05 -5.363300e-06
##   -2.826892e-05 -3.269801e-06 -1.233827e-05  4.453708e+00  1.080296e+00
##   -1.228751e-05 -1.420212e-06 -5.363300e-06  1.080296e+00  2.654931e+00
##   -4.203885e-06 -4.855940e-07 -1.835009e-06  9.213093e-02 -8.799774e-02
##   -4.574682e-06 -5.304524e-07 -1.996313e-06 -1.956533e-05 -8.503855e-06
##    8.234640e-06  9.490180e-07  3.595036e-06  3.522241e-05  1.531180e-05
##   -2.450147e-06 -2.830948e-07 -1.069476e-06 -1.047964e-05 -4.555340e-06
## d -5.103486e+00 -4.647940e+00 -1.426495e+00 -6.899322e+00 -6.148429e+00
##           [,46]         [,47]         [,48]         [,49]        [,50]
##   -3.228337e-03 -4.925919e-04 -3.839934e-04 -4.349347e-05   -7.2826072
##   -6.190250e-06 -6.736224e-06  1.212559e-05 -3.607857e-06   -3.5549984
##   -2.190533e-06 -2.384474e-06  4.290071e-06 -1.276734e-06   -2.9309167
##   -1.909270e-06 -2.077099e-06  3.740526e-06 -1.112757e-06   -1.4142498
##    1.256814e-06  1.364062e-06 -2.465734e-06  7.323720e-07   -4.9574416
##   -6.574613e-06 -7.154122e-06  1.287888e-05 -3.831861e-06   -4.8636972
##    1.055113e-06  1.147778e-06 -2.067200e-06  6.149353e-07   -1.4426588
##   -1.526580e-05 -1.661174e-05  2.990349e-05 -8.897331e-06   -7.5216746
##   -3.484472e-06 -3.791929e-06  6.825320e-06 -2.030856e-06   -6.4534259
##   -2.876619e-06 -3.129498e-06  5.635678e-06 -1.676545e-06   -1.3383910
##   -9.964054e-06 -1.084370e-05  1.951692e-05 -5.807371e-06   -8.1425315
##    1.793878e-06  1.949818e-06 -3.516327e-06  1.045438e-06   -6.9644102
##   -4.132462e-06 -4.495862e-06  8.095910e-06 -2.408478e-06   -0.9381385
##   -8.616050e-06 -9.377620e-06  1.687554e-05 -5.021746e-06   -7.7232118
##   -8.755522e-06 -9.526230e-06  1.715213e-05 -5.102915e-06   -6.5737736
##   -1.000653e-06 -1.088621e-06  1.960409e-06 -5.831986e-07   -1.4450127
##   -2.592290e-06 -2.824572e-06  5.073928e-06 -1.510999e-06   -6.3245425
##   -2.970703e-06 -3.232859e-06  5.818922e-06 -1.731417e-06   -5.9335266
##   -1.055385e-06 -1.148202e-06  2.067596e-06 -6.150987e-07   -1.3875414
##   -1.304137e-05 -1.419063e-05  2.554675e-05 -7.600850e-06   -7.8439612
##   -1.086069e-05 -1.181731e-05  2.127553e-05 -6.329877e-06   -7.1704005
##   -2.134733e-06 -2.322349e-06  4.182275e-06 -1.244159e-06   -1.4499800
##    3.317460e-06  3.605229e-06 -6.503481e-06  1.933329e-06   -7.6503712
##    1.901462e-07  2.048234e-07 -3.747048e-07  1.107437e-07   -6.8575460
##   -4.865463e-06 -5.293121e-06  9.532149e-06 -2.835677e-06   -1.3077960
##    3.076663e-07  3.303613e-07 -6.074202e-07  1.791493e-07   -6.1738848
##   -6.154326e-06 -6.696315e-06  1.205610e-05 -3.586889e-06   -5.9171244
##   -8.662459e-07 -9.424667e-07  1.697015e-06 -5.048664e-07   -0.1436881
##   -9.491360e-06 -1.032819e-05  1.859219e-05 -5.531829e-06   -6.9005321
##    2.402211e-06  2.610750e-06 -4.709073e-06  1.399952e-06   -6.5682897
##   -3.037069e-06 -3.304019e-06  5.950056e-06 -1.770057e-06   -1.3896535
##   -9.102890e-06 -9.906895e-06  1.782971e-05 -5.305471e-06   -6.9692640
##   -3.207693e-06 -3.491195e-06  6.282668e-06 -1.869558e-06   -6.3014182
##   -2.751741e-06 -2.993598e-06  5.391074e-06 -1.603763e-06   -1.4127781
##   -1.362839e-05 -1.482994e-05  2.669608e-05 -7.943006e-06   -5.9944175
##   -6.154996e-06 -6.697362e-06  1.205707e-05 -3.587291e-06   -5.7548047
##   -1.968674e-06 -2.141769e-06  3.856861e-06 -1.147380e-06   -1.3459143
##   -6.780140e-06 -7.379348e-06  1.327979e-05 -3.951708e-06   -3.7538235
##   -1.048157e-05 -1.140324e-05  2.053451e-05 -6.108857e-06   -5.2485277
##   -2.707776e-06 -2.945884e-06  5.304815e-06 -1.578143e-06   -1.1978453
##   -4.203885e-06 -4.574682e-06  8.234640e-06 -2.450147e-06   -5.1034860
##   -4.855940e-07 -5.304524e-07  9.490180e-07 -2.830948e-07   -4.6479401
##   -1.835009e-06 -1.996313e-06  3.595036e-06 -1.069476e-06   -1.4264953
##    9.213093e-02 -1.956533e-05  3.522241e-05 -1.047964e-05   -6.8993220
##   -8.799774e-02 -8.503855e-06  1.531180e-05 -4.555340e-06   -6.1484288
##    1.274458e+00 -2.909253e-06  5.239099e-06 -1.558563e-06   -1.3721616
##   -2.909253e-06  3.721446e+00  4.889471e-01  1.429422e-02   -4.4219459
##    5.239099e-06  4.889471e-01  9.351470e-01  5.111604e-02   -3.7857632
##   -1.558563e-06  1.429422e-02  5.111604e-02  1.204982e+00   -1.3402037
## d -1.372162e+00 -4.421946e+00 -3.785763e+00 -1.340204e+00 1815.5000000
## 
## Model rank =  1025 / 1025 
## 
## Basis dimension (k) checking results. Low p-value (k-index<1) may
## indicate that k is too low, especially if edf is close to k'.
## 
##                                k'  edf k-index p-value    
## s(bb.sp)                     16.0 14.6      NA      NA    
## te(yday,elev.mean):bb.spbss  63.0 15.8     0.5  <2e-16 ***
## te(yday,elev.mean):bb.spgers 63.0 22.5     0.5  <2e-16 ***
## te(yday,elev.mean):bb.sphort 63.0 30.6     0.5  <2e-16 ***
## te(yday,elev.mean):bb.sphumi 63.0 32.1     0.5  <2e-16 ***
## te(yday,elev.mean):bb.sphypn 63.0 31.5     0.5  <2e-16 ***
## te(yday,elev.mean):bb.spjone 63.0 27.3     0.5  <2e-16 ***
## te(yday,elev.mean):bb.splapi 63.0 32.9     0.5  <2e-16 ***
## te(yday,elev.mean):bb.spmend 63.0 31.6     0.5  <2e-16 ***
## te(yday,elev.mean):bb.spmont 63.0 24.5     0.5  <2e-16 ***
## te(yday,elev.mean):bb.spmuci 63.0 29.7     0.5  <2e-16 ***
## te(yday,elev.mean):bb.sppasc 63.0 29.4     0.5  <2e-16 ***
## te(yday,elev.mean):bb.spprat 63.0 26.2     0.5  <2e-16 ***
## te(yday,elev.mean):bb.sppsit 63.0 20.4     0.5  <2e-16 ***
## te(yday,elev.mean):bb.sppyre 63.0 22.4     0.5  <2e-16 ***
## te(yday,elev.mean):bb.spsoro 63.0 28.8     0.5  <2e-16 ***
## te(yday,elev.mean):bb.spwurf 63.0 19.1     0.5  <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

weighted_fl_abundance.2011.sum <- summary(weighted_fl_abundance.2011)
print(plot(weighted_fl_abundance.2011, allTerms = TRUE), pages = 4)

## Hit <Return> to see next plot:

## Hit <Return> to see next plot:

## Hit <Return> to see next plot:

## Hit <Return> to see next plot:

weighted_fl_abundance.2011.ck <- check2D(weighted_fl_abundance.2011, 
                                         x1 = "yday", x2 = "elev.mean")

### 2012
weighted_fl_abundance.2012 <- bam(log(fl.abund.wt + 0.001) ~
                                      s(bb.sp, bs = "re") +
                                      #s(management, bs = "re") +
                                      #s(site, bs = "re") +
                                      te(yday, elev.mean, 
                                                by = bb.sp,
                                                #id = 0,
                                                bs= c("gp", "tp"), 
                                                k=c(8, 8), 
                                                m=2),
                                    data = filter(fl_abund_wt, year == 2012),
                                    discrete = TRUE,
                                    family = "gaussian",
                                    select = TRUE,
                                    method = "fREML") %>% getViz(nsim = 500)

check.gamViz(weighted_fl_abundance.2012)

## 
## Method: fREML   Optimizer: perf chol
## $grad
##  [1] -1.131628e-04 -9.460409e-06 -1.279718e-05 -2.584801e-05 -1.027590e-04
##  [6] -2.199601e-05 -8.734337e-05  4.168813e-06  1.037249e-06  5.203119e-07
## [11]  1.912655e-05  4.051199e-06  6.053356e-06 -1.168450e-05  7.783338e-06
## [16]  1.683282e-05  1.962111e-05 -9.148472e-07 -9.649225e-06 -6.564609e-06
## [21]  7.787191e-07  2.069413e-05 -5.240654e-06  2.024420e-06  3.301784e-05
## [26]  1.573214e-05  4.233933e-06  8.822133e-06  1.103480e-05  2.675262e-06
## [31] -1.492661e-05  6.798648e-07 -3.451011e-06 -2.273318e-05  4.118399e-06
## [36]  4.666260e-06  1.976536e-05 -1.989085e-05 -2.708962e-05 -3.428239e-05
## [41]  5.718582e-06  3.249620e-06  1.555614e-05 -2.474853e-05  1.230538e-05
## [46]  3.701813e-05  5.238981e-06  2.893249e-06  1.716585e-05  3.288502e-04
## 
## $hess
##            [,1]          [,2]          [,3]          [,4]          [,5]
##    1.131711e-04  9.472298e-06  1.280829e-05  2.587014e-05  0.0001028664
##    9.472298e-06  4.178198e+00  1.160312e+00  2.221911e-02  0.0188005976
##    1.280829e-05  1.160312e+00  4.040933e+00 -7.575536e-02  0.0124765266
##    2.587014e-05  2.221911e-02 -7.575536e-02  1.432672e+00  0.0243881812
##    1.028664e-04  1.880060e-02  1.247653e-02  2.438818e-02  2.8067400489
##    2.202134e-05  4.173133e-03  2.784921e-03  5.445740e-03  0.9294839102
##    8.744912e-05  1.689460e-02  1.130711e-02  2.211449e-02 -0.2719233484
##   -4.171623e-06  1.942393e-03  1.326649e-03  2.598043e-03 -0.0040468482
##   -1.038023e-06 -4.573843e-04 -2.827828e-04 -5.501114e-04  0.0008063557
##   -5.219391e-07 -1.580472e-02 -1.028947e-02 -2.008766e-02  0.0304276541
##   -1.914134e-05  2.247185e-02  1.489700e-02  2.911751e-02 -0.0445849865
##   -4.054599e-06  1.224517e-03  8.581355e-04  1.683235e-03 -0.0026590844
##   -6.059242e-06 -8.851824e-03 -5.658595e-03 -1.103344e-02  0.0165255675
##    1.169756e-05  1.930352e-02  1.289889e-02  2.522511e-02 -0.0388049946
##   -7.790207e-06 -4.009445e-03 -2.591752e-03 -5.057344e-03  0.0076272711
##   -1.684804e-05 -1.040716e-02 -6.782311e-03 -1.324169e-02  0.0200700786
##   -1.964494e-05  9.411607e-03  6.329802e-03  1.238376e-02 -0.0191218537
##    9.168526e-07 -7.069285e-03 -4.509806e-03 -8.792234e-03  0.0131517510
##    9.664302e-06 -2.953678e-02 -1.894594e-02 -3.695035e-02  0.0554609742
##    6.571337e-06  9.354201e-03  6.234488e-03  1.219014e-02 -0.0187245146
##   -7.789955e-07  1.471350e-03  1.009754e-03  1.978051e-03 -0.0030893512
##   -2.071098e-05 -7.896337e-03 -5.019286e-03 -9.783096e-03  0.0146006426
##    5.246929e-06  1.243199e-02  8.290436e-03  1.621067e-02 -0.0249083088
##   -2.026011e-06  1.165499e-03  8.186596e-04  1.606031e-03 -0.0025402494
##   -3.304924e-05 -2.006736e-02 -1.297773e-02 -2.532451e-02  0.0382041150
##   -1.574855e-05  1.562789e-02  1.049670e-02  2.053423e-02 -0.0316829828
##   -4.239337e-06 -8.713442e-03 -5.629816e-03 -1.098524e-02  0.0165626644
##   -8.834219e-06 -2.898287e-02 -1.881612e-02 -3.672698e-02  0.0555370850
##   -1.104323e-05  1.617655e-03  1.199877e-03  2.361576e-03 -0.0038406641
##   -2.677301e-06  2.562020e-04  2.039192e-04  4.029376e-04 -0.0006770104
##    1.493846e-05 -1.926420e-02 -1.254543e-02 -2.449235e-02  0.0371062739
##   -6.787017e-07 -5.617319e-03 -3.536871e-03 -6.889215e-03  0.0102195108
##    3.453983e-06 -2.950668e-03 -1.913347e-03 -3.734344e-03  0.0056428354
##    2.275161e-05 -1.538446e-02 -1.004506e-02 -1.961432e-02  0.0297630843
##   -4.120991e-06  8.928127e-03  6.045888e-03  1.183351e-02 -0.0183437585
##   -4.670597e-06 -3.413851e-03 -2.211287e-03 -4.315529e-03  0.0065167004
##   -1.978397e-05 -1.674423e-02 -1.089616e-02 -2.127144e-02  0.0322118547
##    1.992016e-05 -1.272906e-02 -8.095746e-03 -1.578003e-02  0.0235590759
##    2.711686e-05 -9.969350e-03 -6.509968e-03 -1.271166e-02  0.0192900047
##    3.431624e-05 -1.226032e-02 -8.020205e-03 -1.566247e-02  0.0237933555
##   -5.723641e-06  6.145588e-03  4.110914e-03  8.039867e-03 -0.0123757004
##   -3.253076e-06 -3.728419e-03 -2.385848e-03 -4.652379e-03  0.0069726468
##   -1.557240e-05 -1.436361e-02 -9.142505e-03 -1.782131e-02  0.0266198461
##    2.477672e-05  1.671807e-02  1.120724e-02  2.192148e-02 -0.0337857061
##   -1.231590e-05 -4.289764e-03 -2.774230e-03 -5.413585e-03  0.0081668477
##   -3.705123e-05 -1.455036e-02 -9.490291e-03 -1.852974e-02  0.0280991541
##   -5.242704e-06  8.025211e-03  5.431203e-03  1.062999e-02 -0.0164725145
##   -2.895837e-06 -1.661358e-03 -1.061346e-03 -2.069378e-03  0.0030981929
##   -1.718190e-05 -1.781601e-02 -1.160117e-02 -2.264874e-02  0.0343111154
## d -3.291455e-04 -8.687216e+00 -9.580363e+00 -1.475098e+00 -8.6811817592
##            [,6]          [,7]          [,8]          [,9]         [,10]
##    2.202134e-05  8.744912e-05 -4.171623e-06 -1.038023e-06 -5.219391e-07
##    4.173133e-03  1.689460e-02  1.942393e-03 -4.573843e-04 -1.580472e-02
##    2.784921e-03  1.130711e-02  1.326649e-03 -2.827828e-04 -1.028947e-02
##    5.445740e-03  2.211449e-02  2.598043e-03 -5.501114e-04 -2.008766e-02
##    9.294839e-01 -2.719233e-01 -4.046848e-03  8.063557e-04  3.042765e-02
##    6.206722e+00  5.546384e-02 -9.121675e-04  1.775729e-04  6.787124e-03
##    5.546384e-02  1.255865e+00 -3.721987e-03  7.159279e-04  2.754669e-02
##   -9.121675e-04 -3.721987e-03  2.928521e+00  1.064958e+00  7.175592e-02
##    1.775729e-04  7.159279e-04  1.064958e+00  7.317077e+00 -1.137670e-02
##    6.787124e-03  2.754669e-02  7.175592e-02 -1.137670e-02  1.380608e+00
##   -9.985826e-03 -4.061432e-02 -4.822897e-03  9.652580e-04  3.633550e-02
##   -6.024403e-04 -2.464540e-03 -3.043064e-04  4.838021e-05  2.078984e-03
##    3.670221e-03  1.486295e-02  1.712369e-03 -3.992681e-04 -1.386567e-02
##   -8.706425e-03 -3.544226e-02 -4.234392e-03  8.198677e-04  3.143078e-02
##    1.698488e-03  6.887684e-03  8.012862e-04 -1.782405e-04 -6.341713e-03
##    4.477835e-03  1.817624e-02  2.129081e-03 -4.576504e-04 -1.657836e-02
##   -4.296222e-03 -1.750153e-02 -2.101052e-03  3.960209e-04  1.541154e-02
##    2.919455e-03  1.181958e-02  1.359230e-03 -3.197100e-04 -1.105364e-02
##    1.232766e-02  4.994343e-02  5.771396e-03 -1.326429e-03 -4.640433e-02
##   -4.198738e-03 -1.708740e-02 -2.037497e-03  3.987620e-04  1.519647e-02
##   -6.970273e-04 -2.845542e-03 -3.465340e-04  6.007497e-05  2.452453e-03
##    3.238215e-03  1.310408e-02  1.502024e-03 -3.587626e-04 -1.230812e-02
##   -5.586057e-03 -2.273471e-02 -2.712031e-03  5.295450e-04  2.020641e-02
##   -5.757724e-04 -2.355968e-03 -2.913253e-04  4.587711e-05  1.982805e-03
##    8.508448e-03  3.450526e-02  4.015780e-03 -8.915563e-04 -3.175312e-02
##   -7.116398e-03 -2.898593e-02 -3.476363e-03  6.588507e-04  2.556110e-02
##    3.687865e-03  1.495412e-02  1.739003e-03 -3.875989e-04 -1.377633e-02
##    1.237991e-02  5.022910e-02  5.864921e-03 -1.281049e-03 -4.601549e-02
##   -8.791116e-04 -3.614823e-03 -4.612696e-04  5.788988e-05  2.887855e-03
##   -1.566853e-04 -6.477746e-04 -8.547890e-05  7.905885e-06  4.870169e-04
##    8.277408e-03  3.359645e-02  3.932999e-03 -8.479523e-04 -3.066823e-02
##    2.261170e-03  9.138997e-03  1.038303e-03 -2.582880e-04 -8.683703e-03
##    1.257509e-03  5.101375e-03  5.950591e-04 -1.306267e-04 -4.679863e-03
##    6.643349e-03  2.697247e-02  3.164384e-03 -6.747917e-04 -2.454777e-02
##   -4.127376e-03 -1.682608e-02 -2.030031e-03  3.719256e-04  1.470791e-02
##    1.451880e-03  5.889110e-03  6.863137e-04 -1.513510e-04 -5.409346e-03
##    7.184346e-03  2.915730e-02  3.411197e-03 -7.377747e-04 -2.663901e-02
##    5.225793e-03  2.114873e-02  2.425368e-03 -5.779185e-04 -1.985066e-02
##    4.305772e-03  1.748194e-02  2.051126e-03 -4.372177e-04 -1.590865e-02
##    5.313142e-03  2.157649e-02  2.535218e-03 -5.363959e-04 -1.959487e-02
##   -2.777291e-03 -1.130716e-02 -1.351974e-03  2.606232e-04  1.001577e-02
##    1.548962e-03  6.273490e-03  7.234287e-04 -1.679523e-04 -5.845453e-03
##    5.905864e-03  2.390336e-02  2.743234e-03 -6.514769e-04 -2.241502e-02
##   -7.585546e-03 -3.089029e-02 -3.699448e-03  7.067854e-04  2.729787e-02
##    1.818841e-03  7.376153e-03  8.584499e-04 -1.905861e-04 -6.787817e-03
##    6.270403e-03  2.545506e-02  2.983735e-03 -6.391296e-04 -2.319519e-02
##   -3.705877e-03 -1.510679e-02 -1.821819e-03  3.346082e-04  1.321353e-02
##    6.879798e-04  2.785820e-03  3.207695e-04 -7.499951e-05 -2.600911e-03
##    7.653709e-03  3.106460e-02  3.636307e-03 -7.843115e-04 -2.836028e-02
## d -1.070825e+01 -1.382974e+00 -8.229742e+00 -1.212426e+01 -1.431246e+00
##           [,11]         [,12]         [,13]         [,14]         [,15]
##   -1.914134e-05 -4.054599e-06 -6.059242e-06  1.169756e-05 -7.790207e-06
##    2.247185e-02  1.224517e-03 -8.851824e-03  1.930352e-02 -4.009445e-03
##    1.489700e-02  8.581355e-04 -5.658595e-03  1.289889e-02 -2.591752e-03
##    2.911751e-02  1.683235e-03 -1.103344e-02  2.522511e-02 -5.057344e-03
##   -4.458499e-02 -2.659084e-03  1.652557e-02 -3.880499e-02  7.627271e-03
##   -9.985826e-03 -6.024403e-04  3.670221e-03 -8.706425e-03  1.698488e-03
##   -4.061432e-02 -2.464540e-03  1.486295e-02 -3.544226e-02  6.887684e-03
##   -4.822897e-03 -3.043064e-04  1.712369e-03 -4.234392e-03  8.012862e-04
##    9.652580e-04  4.838021e-05 -3.992681e-04  8.198677e-04 -1.782405e-04
##    3.633550e-02  2.078984e-03 -1.386567e-02  3.143078e-02 -6.341713e-03
##    7.099531e+00  1.098162e+00  9.179053e-02 -4.628764e-02  9.111080e-03
##    1.098162e+00  6.351457e+00 -3.367251e-01 -2.799874e-03  5.128300e-04
##    9.179053e-02 -3.367251e-01  1.301054e+00  1.697946e-02 -3.515059e-03
##   -4.628764e-02 -2.799874e-03  1.697946e-02  6.173446e+00  1.075399e+00
##    9.111080e-03  5.128300e-04 -3.515059e-03  1.075399e+00  5.839189e+00
##    2.396582e-02  1.374369e-03 -9.131243e-03  4.103535e-02 -1.644923e-01
##   -2.280296e-02 -1.397202e-03  8.283938e-03 -1.992882e-02  3.847859e-03
##    1.571975e-02  8.571421e-04 -6.189616e-03  1.350462e-02 -2.803937e-03
##    6.627357e-02  3.662371e-03 -2.587512e-02  5.704210e-02 -1.175174e-02
##   -2.233751e-02 -1.344103e-03  8.225843e-03 -1.946786e-02  3.804391e-03
##   -3.681088e-03 -2.343039e-04  1.297752e-03 -3.236410e-03  6.086710e-04
##    1.745448e-02  9.431668e-04 -6.911333e-03  1.497603e-02 -3.125582e-03
##   -2.971381e-02 -1.789988e-03  1.093299e-02 -2.590102e-02  5.057774e-03
##   -3.024120e-03 -2.003809e-04  1.030497e-03 -2.676204e-03  4.887774e-04
##    4.563540e-02  2.571403e-03 -1.759374e-02  3.938787e-02 -8.021475e-03
##   -3.778425e-02 -2.309134e-03  1.375355e-02 -3.300858e-02  6.384442e-03
##    1.978518e-02  1.112410e-03 -7.638674e-03  1.707124e-02 -3.481155e-03
##    6.632843e-02  3.770941e-03 -2.541997e-02  5.732196e-02 -1.161087e-02
##   -4.563469e-03 -3.281291e-04  1.438768e-03 -4.095214e-03  7.008344e-04
##   -8.026651e-04 -6.288329e-05  2.297230e-04 -7.316980e-04  1.158937e-04
##    4.431027e-02  2.536963e-03 -1.690121e-02  3.833281e-02 -7.731151e-03
##    1.222250e-02  6.444110e-04 -4.912099e-03  1.045161e-02 -2.211579e-03
##    6.739645e-03  3.821235e-04 -2.587635e-03  5.822197e-03 -1.181271e-03
##    3.553734e-02  2.046653e-03 -1.350087e-02  3.076976e-02 -6.183378e-03
##   -2.186897e-02 -1.357855e-03  7.863892e-03 -1.915197e-02  3.664740e-03
##    7.783743e-03  4.402142e-04 -2.993510e-03  6.721724e-03 -1.365852e-03
##    3.846690e-02  2.198668e-03 -1.468925e-02  3.326948e-02 -6.716944e-03
##    2.816318e-02  1.523984e-03 -1.114182e-02  2.416892e-02 -5.040108e-03
##    2.303231e-02  1.326753e-03 -8.748839e-03  1.994300e-02 -4.007138e-03
##    2.840711e-02  1.642836e-03 -1.076123e-02  2.461114e-02 -4.933004e-03
##   -1.476142e-02 -8.947998e-04  5.406265e-03 -1.287953e-02  2.504703e-03
##    8.332935e-03  4.578257e-04 -3.265449e-03  7.166340e-03 -1.481411e-03
##    3.182095e-02  1.725322e-03 -1.257351e-02  2.731543e-02 -5.689843e-03
##   -4.029512e-02 -2.453154e-03  1.471009e-02 -3.518130e-02  6.822159e-03
##    9.755424e-03  5.496876e-04 -3.760984e-03  8.419900e-03 -1.714738e-03
##    3.355217e-02  1.927708e-03 -1.276753e-02  2.904074e-02 -5.844551e-03
##   -1.963860e-02 -1.217975e-03  7.068169e-03 -1.719562e-02  3.292971e-03
##    3.702902e-03  2.026112e-04 -1.454825e-03  3.182667e-03 -6.594818e-04
##    4.097262e-02  2.345344e-03 -1.563050e-02  3.544426e-02 -7.149554e-03
## d -1.003326e+01 -1.056088e+01 -1.344946e+00 -1.006988e+01 -9.396837e+00
##           [,16]         [,17]         [,18]         [,19]         [,20]
##   -1.684804e-05 -1.964494e-05  9.168526e-07  9.664302e-06  6.571337e-06
##   -1.040716e-02  9.411607e-03 -7.069285e-03 -2.953678e-02  9.354201e-03
##   -6.782311e-03  6.329802e-03 -4.509806e-03 -1.894594e-02  6.234488e-03
##   -1.324169e-02  1.238376e-02 -8.792234e-03 -3.695035e-02  1.219014e-02
##    2.007008e-02 -1.912185e-02  1.315175e-02  5.546097e-02 -1.872451e-02
##    4.477835e-03 -4.296222e-03  2.919455e-03  1.232766e-02 -4.198738e-03
##    1.817624e-02 -1.750153e-02  1.181958e-02  4.994343e-02 -1.708740e-02
##    2.129081e-03 -2.101052e-03  1.359230e-03  5.771396e-03 -2.037497e-03
##   -4.576504e-04  3.960209e-04 -3.197100e-04 -1.326429e-03  3.987620e-04
##   -1.657836e-02  1.541154e-02 -1.105364e-02 -4.640433e-02  1.519647e-02
##    2.396582e-02 -2.280296e-02  1.571975e-02  6.627357e-02 -2.233751e-02
##    1.374369e-03 -1.397202e-03  8.571421e-04  3.662371e-03 -1.344103e-03
##   -9.131243e-03  8.283938e-03 -6.189616e-03 -2.587512e-02  8.225843e-03
##    4.103535e-02 -1.992882e-02  1.350462e-02  5.704210e-02 -1.946786e-02
##   -1.644923e-01  3.847859e-03 -2.803937e-03 -1.175174e-02  3.804391e-03
##    1.407338e+00  1.017112e-02 -7.278730e-03 -3.056407e-02  1.002540e-02
##    1.017112e-02  5.667643e+00  9.737294e-01  1.759759e-01 -9.603454e-03
##   -7.278730e-03  9.737294e-01  6.661012e+00  6.395278e-02  6.543949e-03
##   -3.056407e-02  1.759759e-01  6.395278e-02  1.013869e+00  2.762402e-02
##    1.002540e-02 -9.603454e-03  6.543949e-03  2.762402e-02  2.689267e+00
##    1.619887e-03 -1.607624e-03  1.029665e-03  4.377106e-03  1.182313e+00
##   -8.103528e-03  7.294703e-03 -5.521153e-03 -2.305072e-02  5.855034e-03
##    1.333087e-02 -1.277869e-02  8.697145e-03  3.671818e-02 -1.249186e-02
##    1.310908e-03 -1.336142e-03  8.158528e-04  3.487928e-03 -1.284476e-03
##   -2.092145e-02  1.927846e-02 -1.403384e-02 -5.882425e-02  1.905734e-02
##    1.686858e-02 -1.631392e-02  1.093382e-02  4.623992e-02 -1.590848e-02
##   -9.076565e-03  8.353426e-03 -6.093567e-03 -2.553630e-02  8.260549e-03
##   -3.032363e-02  2.808573e-02 -2.026965e-02 -8.503862e-02  2.772293e-02
##    1.913356e-03 -2.066612e-03  1.133125e-03  4.911091e-03 -1.956858e-03
##    3.235236e-04 -3.736004e-04  1.796288e-04  7.930931e-04 -3.479147e-04
##   -2.021265e-02  1.879731e-02 -1.347320e-02 -5.656581e-02  1.853295e-02
##   -5.714887e-03  5.076754e-03 -3.927250e-03 -1.636073e-02  5.072205e-03
##   -3.083815e-03  2.851758e-03 -2.063571e-03 -8.655052e-03  2.816181e-03
##   -1.618061e-02  1.509908e-02 -1.076006e-02 -4.520253e-02  1.487227e-02
##    9.709497e-03 -9.484022e-03  6.247020e-03  2.647074e-02 -9.222990e-03
##   -3.564345e-03  3.291384e-03 -2.387473e-03 -1.001104e-02  3.251663e-03
##   -1.755654e-02  1.631113e-02 -1.171066e-02 -4.915736e-02  1.608625e-02
##   -1.306977e-02  1.177439e-02 -8.900266e-03 -3.716325e-02  1.171561e-02
##   -1.048619e-02  9.786506e-03 -6.972682e-03 -2.929258e-02  9.639158e-03
##   -1.291694e-02  1.208293e-02 -8.575182e-03 -3.603971e-02  1.189321e-02
##    6.608600e-03 -6.359144e-03  4.299468e-03  1.816506e-02 -6.209793e-03
##   -3.849694e-03  3.497320e-03 -2.607116e-03 -1.090136e-02  3.471398e-03
##   -1.475866e-02  1.331028e-02 -1.004324e-02 -4.194332e-02  1.323966e-02
##    1.801328e-02 -1.737959e-02  1.169629e-02  4.944168e-02 -1.695885e-02
##   -4.472348e-03  4.121136e-03 -2.999989e-03 -1.257476e-02  4.073866e-03
##   -1.528836e-02  1.424660e-02 -1.017656e-02 -4.274060e-02  1.403816e-02
##    8.722758e-03 -8.514036e-03  5.615210e-03  2.379013e-02 -8.281350e-03
##   -1.712783e-03  1.552474e-03 -1.161692e-03 -4.855622e-03  1.541983e-03
##   -1.869146e-02  1.738039e-02 -1.246034e-02 -5.231219e-02  1.713659e-02
## d -1.449577e+00 -8.612189e+00 -1.006300e+01 -1.183688e+00 -9.470371e+00
##           [,21]         [,22]         [,23]         [,24]         [,25]
##   -7.789955e-07 -2.071098e-05  5.246929e-06 -2.026011e-06 -3.304924e-05
##    1.471350e-03 -7.896337e-03  1.243199e-02  1.165499e-03 -2.006736e-02
##    1.009754e-03 -5.019286e-03  8.290436e-03  8.186596e-04 -1.297773e-02
##    1.978051e-03 -9.783096e-03  1.621067e-02  1.606031e-03 -2.532451e-02
##   -3.089351e-03  1.460064e-02 -2.490831e-02 -2.540249e-03  3.820411e-02
##   -6.970273e-04  3.238215e-03 -5.586057e-03 -5.757724e-04  8.508448e-03
##   -2.845542e-03  1.310408e-02 -2.273471e-02 -2.355968e-03  3.450526e-02
##   -3.465340e-04  1.502024e-03 -2.712031e-03 -2.913253e-04  4.015780e-03
##    6.007497e-05 -3.587626e-04  5.295450e-04  4.587711e-05 -8.915563e-04
##    2.452453e-03 -1.230812e-02  2.020641e-02  1.982805e-03 -3.175312e-02
##   -3.681088e-03  1.745448e-02 -2.971381e-02 -3.024120e-03  4.563540e-02
##   -2.343039e-04  9.431668e-04 -1.789988e-03 -2.003809e-04  2.571403e-03
##    1.297752e-03 -6.911333e-03  1.093299e-02  1.030497e-03 -1.759374e-02
##   -3.236410e-03  1.497603e-02 -2.590102e-02 -2.676204e-03  3.938787e-02
##    6.086710e-04 -3.125582e-03  5.057774e-03  4.887774e-04 -8.021475e-03
##    1.619887e-03 -8.103528e-03  1.333087e-02  1.310908e-03 -2.092145e-02
##   -1.607624e-03  7.294703e-03 -1.277869e-02 -1.336142e-03  1.927846e-02
##    1.029665e-03 -5.521153e-03  8.697145e-03  8.158528e-04 -1.403384e-02
##    4.377106e-03 -2.305072e-02  3.671818e-02  3.487928e-03 -5.882425e-02
##    1.182313e+00  5.855034e-03 -1.249186e-02 -1.284476e-03  1.905734e-02
##    7.260820e+00 -4.945768e-01 -2.072123e-03 -2.243806e-04  3.050738e-03
##   -4.945768e-01  1.310978e+00  9.647850e-03  8.973859e-04 -1.564258e-02
##   -2.072123e-03  9.647850e-03  4.279031e+00  8.031675e-01  7.117244e-02
##   -2.243806e-04  8.973859e-04  8.031675e-01  7.249149e+00 -1.553548e-01
##    3.050738e-03 -1.564258e-02  7.117244e-02 -1.553548e-01  1.269223e+00
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##    1.320851e-03 -6.793060e-03  1.098192e-02  1.060188e-03 -1.742766e-02
##    4.458936e-03 -2.257981e-02  3.686017e-02  3.595554e-03 -5.813277e-02
##   -3.576768e-04  1.234626e-03 -2.608647e-03 -3.155416e-04  3.517886e-03
##   -6.674183e-05  1.931591e-04 -4.642986e-04 -6.063009e-05  5.825066e-04
##    2.991961e-03 -1.500160e-02  2.464302e-02  2.419662e-03 -3.871029e-02
##    7.842596e-04 -4.395156e-03  6.738945e-03  6.124746e-04 -1.106623e-02
##    4.523009e-04 -2.299179e-03  3.744267e-03  3.643103e-04 -5.914193e-03
##    2.408465e-03 -1.197583e-02  1.977666e-02  1.952486e-03 -3.096207e-02
##   -1.555028e-03  6.912900e-03 -1.227419e-02 -1.299160e-03  1.836342e-02
##    5.215501e-04 -2.660507e-03  4.323153e-03  4.196497e-04 -6.838181e-03
##    2.594631e-03 -1.304062e-02  2.138930e-02  2.096864e-03 -3.363161e-02
##    1.836091e-03 -9.945697e-03  1.556931e-02  1.450099e-03 -2.522448e-02
##    1.561175e-03 -7.760403e-03  1.281786e-02  1.265719e-03 -2.006501e-02
##    1.930286e-03 -9.541311e-03  1.581587e-02  1.567510e-03 -2.470197e-02
##   -1.033521e-03  4.767118e-03 -8.262011e-03 -8.553460e-04  1.254770e-02
##    5.483831e-04 -2.910661e-03  4.613958e-03  4.359123e-04 -7.414977e-03
##    2.077083e-03 -1.122160e-02  1.759501e-02  1.641815e-03 -2.847668e-02
##   -2.829094e-03  1.296403e-02 -2.256447e-02 -2.345375e-03  3.417808e-02
##    6.521538e-04 -3.343887e-03  5.416088e-03  5.239295e-04 -8.584625e-03
##    2.270504e-03 -1.132827e-02  1.866702e-02  1.838836e-03 -2.926486e-02
##   -1.395399e-03  6.214345e-03 -1.102090e-02 -1.165277e-03  1.650036e-02
##    2.430677e-04 -1.297274e-03  2.049422e-03  1.928798e-04 -3.300828e-03
##    2.766205e-03 -1.387404e-02  2.278625e-02  2.236883e-03 -3.579813e-02
## d -1.134357e+01 -1.347236e+00 -8.999338e+00 -1.066433e+01 -1.346793e+00
##           [,26]         [,27]         [,28]         [,29]         [,30]
##   -1.574855e-05 -4.239337e-06 -8.834219e-06 -1.104323e-05 -2.677301e-06
##    1.562789e-02 -8.713442e-03 -2.898287e-02  1.617655e-03  2.562020e-04
##    1.049670e-02 -5.629816e-03 -1.881612e-02  1.199877e-03  2.039192e-04
##    2.053423e-02 -1.098524e-02 -3.672698e-02  2.361576e-03  4.029376e-04
##   -3.168298e-02  1.656266e-02  5.553709e-02 -3.840664e-03 -6.770104e-04
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##   -2.898593e-02  1.495412e-02  5.022910e-02 -3.614823e-03 -6.477746e-04
##   -3.476363e-03  1.739003e-03  5.864921e-03 -4.612696e-04 -8.547890e-05
##    6.588507e-04 -3.875989e-04 -1.281049e-03  5.788988e-05  7.905885e-06
##    2.556110e-02 -1.377633e-02 -4.601549e-02  2.887855e-03  4.870169e-04
##   -3.778425e-02  1.978518e-02  6.632843e-02 -4.563469e-03 -8.026651e-04
##   -2.309134e-03  1.112410e-03  3.770941e-03 -3.281291e-04 -6.288329e-05
##    1.375355e-02 -7.638674e-03 -2.541997e-02  1.438768e-03  2.297230e-04
##   -3.300858e-02  1.707124e-02  5.732196e-02 -4.095214e-03 -7.316980e-04
##    6.384442e-03 -3.481155e-03 -1.161087e-02  7.008344e-04  1.158937e-04
##    1.686858e-02 -9.076565e-03 -3.032363e-02  1.913356e-03  3.235236e-04
##   -1.631392e-02  8.353426e-03  2.808573e-02 -2.066612e-03 -3.736004e-04
##    1.093382e-02 -6.093567e-03 -2.026965e-02  1.133125e-03  1.796288e-04
##    4.623992e-02 -2.553630e-02 -8.503862e-02  4.911091e-03  7.930931e-04
##   -1.590848e-02  8.260549e-03  2.772293e-02 -1.956858e-03 -3.479147e-04
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##   -2.208004e-03  1.060188e-03  3.595554e-03 -3.155416e-04 -6.063009e-05
##    3.198637e-02 -1.742766e-02 -5.813277e-02  3.517886e-03  5.825066e-04
##    6.534718e+00  9.179449e-01  3.143244e-01 -3.407821e-03 -6.146330e-04
##    9.179449e-01  6.056797e+00  1.002950e-01  1.518525e-03  2.507674e-04
##    3.143244e-01  1.002950e-01  1.066275e+00  5.205288e-03  8.712939e-04
##   -3.407821e-03  1.518525e-03  5.205288e-03  2.910818e+00  8.844576e-01
##   -6.146330e-04  2.507674e-04  8.712939e-04  8.844576e-01  7.226729e+00
##    3.117613e-02 -1.679455e-02 -5.610028e-02  8.127488e-02 -3.196198e-02
##    8.436366e-03 -4.807504e-03 -1.594887e-02  8.204477e-04  1.234731e-04
##    4.730870e-03 -2.566320e-03 -8.565045e-03  5.260445e-04  8.776637e-05
##    2.503892e-02 -1.343159e-02 -4.489049e-02  2.861084e-03  4.861184e-04
##   -1.569842e-02  7.954806e-03  2.678226e-02 -2.031122e-03 -3.714362e-04
##    5.460507e-03 -2.967390e-03 -9.901416e-03  6.044940e-04  1.005493e-04
##    2.705380e-02 -1.459159e-02 -4.873411e-02  3.051023e-03  5.139195e-04
##    1.955446e-02 -1.095392e-02 -3.641449e-02  1.998043e-03  3.132559e-04
##    1.622896e-02 -8.704325e-03 -2.909179e-02  1.855096e-03  3.152702e-04
##    2.003521e-02 -1.071512e-02 -3.582520e-02  2.305795e-03  3.935974e-04
##   -1.053225e-02  5.438116e-03  1.826404e-02 -1.311219e-03 -2.347408e-04
##    5.806144e-03 -3.219231e-03 -1.071518e-02  6.101745e-04  9.776248e-05
##    2.210419e-02 -1.236583e-02 -4.111475e-02  2.266910e-03  3.564439e-04
##   -2.878165e-02  1.481138e-02  4.976597e-02 -3.608360e-03 -6.485494e-04
##    6.837694e-03 -3.725483e-03 -1.242696e-02  7.520194e-04  1.245231e-04
##    2.362661e-02 -1.269586e-02 -4.242237e-02  2.688570e-03  4.555716e-04
##   -1.409325e-02  7.147917e-03  2.406273e-02 -1.820136e-03 -3.325289e-04
##    2.577619e-03 -1.433157e-03 -4.768627e-03  2.688542e-04  4.283094e-05
##    2.882626e-02 -1.553117e-02 -5.187905e-02  3.259264e-03  5.499348e-04
## d -9.661738e+00 -9.123706e+00 -1.306878e+00 -9.104176e+00 -1.037002e+01
##           [,31]         [,32]         [,33]         [,34]         [,35]
##    1.493846e-05 -6.787017e-07  3.453983e-06  2.275161e-05 -4.120991e-06
##   -1.926420e-02 -5.617319e-03 -2.950668e-03 -1.538446e-02  8.928127e-03
##   -1.254543e-02 -3.536871e-03 -1.913347e-03 -1.004506e-02  6.045888e-03
##   -2.449235e-02 -6.889215e-03 -3.734344e-03 -1.961432e-02  1.183351e-02
##    3.710627e-02  1.021951e-02  5.642835e-03  2.976308e-02 -1.834376e-02
##    8.277408e-03  2.261170e-03  1.257509e-03  6.643349e-03 -4.127376e-03
##    3.359645e-02  9.138997e-03  5.101375e-03  2.697247e-02 -1.682608e-02
##    3.932999e-03  1.038303e-03  5.950591e-04  3.164384e-03 -2.030031e-03
##   -8.479523e-04 -2.582880e-04 -1.306267e-04 -6.747917e-04  3.719256e-04
##   -3.066823e-02 -8.683703e-03 -4.679863e-03 -2.454777e-02  1.470791e-02
##    4.431027e-02  1.222250e-02  6.739645e-03  3.553734e-02 -2.186897e-02
##    2.536963e-03  6.444110e-04  3.821235e-04  2.046653e-03 -1.357855e-03
##   -1.690121e-02 -4.912099e-03 -2.587635e-03 -1.350087e-02  7.863892e-03
##    3.833281e-02  1.045161e-02  5.822197e-03  3.076976e-02 -1.915197e-02
##   -7.731151e-03 -2.211579e-03 -1.181271e-03 -6.183378e-03  3.664740e-03
##   -2.021265e-02 -5.714887e-03 -3.083815e-03 -1.618061e-02  9.709497e-03
##    1.879731e-02  5.076754e-03  2.851758e-03  1.509908e-02 -9.484022e-03
##   -1.347320e-02 -3.927250e-03 -2.063571e-03 -1.076006e-02  6.247020e-03
##   -5.656581e-02 -1.636073e-02 -8.655052e-03 -4.520253e-02  2.647074e-02
##    1.853295e-02  5.072205e-03  2.816181e-03  1.487227e-02 -9.222990e-03
##    2.991961e-03  7.842596e-04  4.523009e-04  2.408465e-03 -1.555028e-03
##   -1.500160e-02 -4.395156e-03 -2.299179e-03 -1.197583e-02  6.912900e-03
##    2.464302e-02  6.738945e-03  3.744267e-03  1.977666e-02 -1.227419e-02
##    2.419662e-03  6.124746e-04  3.643103e-04  1.952486e-03 -1.299160e-03
##   -3.871029e-02 -1.106623e-02 -5.914193e-03 -3.096207e-02  1.836342e-02
##    3.117613e-02  8.436366e-03  4.730870e-03  2.503892e-02 -1.569842e-02
##   -1.679455e-02 -4.807504e-03 -2.566320e-03 -1.343159e-02  7.954806e-03
##   -5.610028e-02 -1.594887e-02 -8.565045e-03 -4.489049e-02  2.678226e-02
##    8.127488e-02  8.204477e-04  5.260445e-04  2.861084e-03 -2.031122e-03
##   -3.196198e-02  1.234731e-04  8.776637e-05  4.861184e-04 -3.714362e-04
##    1.325894e+00 -1.058274e-02 -5.705421e-03 -2.992981e-02  1.794058e-02
##   -1.058274e-02  1.799846e+00  6.611594e-01  5.399055e-02  4.796740e-03
##   -5.705421e-03  6.611594e-01  5.893733e+00  3.203766e-03  2.718490e-03
##   -2.992981e-02  5.399055e-02  3.203766e-03  1.404846e+00  1.442143e-02
##    1.794058e-02  4.796740e-03  2.718490e-03  1.442143e-02  1.953112e+00
##   -6.594676e-03 -1.880942e-03 -1.007249e-03 -5.275622e-03  8.416739e-01
##   -3.247819e-02 -9.202214e-03 -4.956465e-03 -2.599522e-02  1.109786e-01
##   -2.419490e-02 -7.082960e-03 -3.707783e-03 -1.931610e-02  1.116005e-02
##   -1.939660e-02 -5.468427e-03 -2.958246e-03 -1.553075e-02  9.347534e-03
##   -2.389155e-02 -6.718443e-03 -3.642619e-03 -1.913356e-02  1.154663e-02
##    1.221534e-02  3.325414e-03  1.854984e-03  9.806371e-03 -6.112903e-03
##   -7.125259e-03 -2.067862e-03 -1.090700e-03 -5.692381e-03  3.320999e-03
##   -2.732074e-02 -7.989146e-03 -4.186205e-03 -2.181355e-02  1.261884e-02
##    3.329364e-02  9.034991e-03  5.053930e-03  2.673405e-02 -1.671575e-02
##   -8.275042e-03 -2.365606e-03 -1.264268e-03 -6.618719e-03  3.925532e-03
##   -2.828030e-02 -7.986374e-03 -4.314038e-03 -2.264098e-02  1.360316e-02
##    1.611763e-02  4.313154e-03  2.442521e-03  1.295523e-02 -8.208160e-03
##   -3.170289e-03 -9.222504e-04 -4.854401e-04 -2.532277e-03  1.473466e-03
##   -3.457704e-02 -9.787716e-03 -5.276146e-03 -2.767710e-02  1.658778e-02
## d -1.416954e+00 -8.414356e+00 -9.977939e+00 -1.462382e+00 -8.312390e+00
##           [,36]         [,37]         [,38]         [,39]         [,40]
##   -4.670597e-06 -1.978397e-05  1.992016e-05  2.711686e-05  3.431624e-05
##   -3.413851e-03 -1.674423e-02 -1.272906e-02 -9.969350e-03 -1.226032e-02
##   -2.211287e-03 -1.089616e-02 -8.095746e-03 -6.509968e-03 -8.020205e-03
##   -4.315529e-03 -2.127144e-02 -1.578003e-02 -1.271166e-02 -1.566247e-02
##    6.516700e-03  3.221185e-02  2.355908e-02  1.929000e-02  2.379336e-02
##    1.451880e-03  7.184346e-03  5.225793e-03  4.305772e-03  5.313142e-03
##    5.889110e-03  2.915730e-02  2.114873e-02  1.748194e-02  2.157649e-02
##    6.863137e-04  3.411197e-03  2.425368e-03  2.051126e-03  2.535218e-03
##   -1.513510e-04 -7.377747e-04 -5.779185e-04 -4.372177e-04 -5.363959e-04
##   -5.409346e-03 -2.663901e-02 -1.985066e-02 -1.590865e-02 -1.959487e-02
##    7.783743e-03  3.846690e-02  2.816318e-02  2.303231e-02  2.840711e-02
##    4.402142e-04  2.198668e-03  1.523984e-03  1.326753e-03  1.642836e-03
##   -2.993510e-03 -1.468925e-02 -1.114182e-02 -8.748839e-03 -1.076123e-02
##    6.721724e-03  3.326948e-02  2.416892e-02  1.994300e-02  2.461114e-02
##   -1.365852e-03 -6.716944e-03 -5.040108e-03 -4.007138e-03 -4.933004e-03
##   -3.564345e-03 -1.755654e-02 -1.306977e-02 -1.048619e-02 -1.291694e-02
##    3.291384e-03  1.631113e-02  1.177439e-02  9.786506e-03  1.208293e-02
##   -2.387473e-03 -1.171066e-02 -8.900266e-03 -6.972682e-03 -8.575182e-03
##   -1.001104e-02 -4.915736e-02 -3.716325e-02 -2.929258e-02 -3.603971e-02
##    3.251663e-03  1.608625e-02  1.171561e-02  9.639158e-03  1.189321e-02
##    5.215501e-04  2.594631e-03  1.836091e-03  1.561175e-03  1.930286e-03
##   -2.660507e-03 -1.304062e-02 -9.945697e-03 -7.760403e-03 -9.541311e-03
##    4.323153e-03  2.138930e-02  1.556931e-02  1.281786e-02  1.581587e-02
##    4.196497e-04  2.096864e-03  1.450099e-03  1.265719e-03  1.567510e-03
##   -6.838181e-03 -3.363161e-02 -2.522448e-02 -2.006501e-02 -2.470197e-02
##    5.460507e-03  2.705380e-02  1.955446e-02  1.622896e-02  2.003521e-02
##   -2.967390e-03 -1.459159e-02 -1.095392e-02 -8.704325e-03 -1.071512e-02
##   -9.901416e-03 -4.873411e-02 -3.641449e-02 -2.909179e-02 -3.582520e-02
##    6.044940e-04  3.051023e-03  1.998043e-03  1.855096e-03  2.305795e-03
##    1.005493e-04  5.139195e-04  3.132559e-04  3.152702e-04  3.935974e-04
##   -6.594676e-03 -3.247819e-02 -2.419490e-02 -1.939660e-02 -2.389155e-02
##   -1.880942e-03 -9.202214e-03 -7.082960e-03 -5.468427e-03 -6.718443e-03
##   -1.007249e-03 -4.956465e-03 -3.707783e-03 -2.958246e-03 -3.642619e-03
##   -5.275622e-03 -2.599522e-02 -1.931610e-02 -1.553075e-02 -1.913356e-02
##    8.416739e-01  1.109786e-01  1.116005e-02  9.347534e-03  1.154663e-02
##    4.461820e+00 -1.696941e-01 -4.290370e-03 -3.418895e-03 -4.209494e-03
##   -1.696941e-01  1.383705e+00 -2.103182e-02 -1.684666e-02 -2.074953e-02
##   -4.290370e-03 -2.103182e-02  6.644054e+00  1.397676e+00 -3.256350e-03
##   -3.418895e-03 -1.684666e-02  1.397676e+00  4.055732e+00  3.184102e-04
##   -4.209494e-03 -2.074953e-02 -3.256350e-03  3.184102e-04  1.435366e+00
##    2.141475e-03  1.060148e-02  7.693569e-03  6.355890e-03  7.844244e-03
##   -1.261718e-03 -6.192533e-03 -4.692414e-03 -3.688795e-03 -4.537636e-03
##   -4.843786e-03 -2.374840e-02 -1.808861e-02 -1.413538e-02 -1.738105e-02
##    5.833906e-03  2.889305e-02  2.092355e-02  1.732752e-02  2.138843e-02
##   -1.461788e-03 -7.189380e-03 -5.392192e-03 -4.289269e-03 -5.280505e-03
##   -4.986074e-03 -2.456338e-02 -1.827117e-02 -1.467302e-02 -1.807542e-02
##    2.818259e-03  1.398318e-02  1.003217e-02  8.397172e-03  1.037224e-02
##   -5.615991e-04 -2.755432e-03 -2.091315e-03 -1.640963e-03 -2.018314e-03
##   -6.098521e-03 -3.003410e-02 -2.237630e-02 -1.793668e-02 -2.209315e-02
## d -9.732203e+00 -1.442904e+00 -9.095465e+00 -8.910283e+00 -1.474254e+00
##           [,41]         [,42]         [,43]         [,44]         [,45]
##   -5.723641e-06 -3.253076e-06 -0.0000155724  2.477672e-05 -0.0000123159
##    6.145588e-03 -3.728419e-03 -0.0143636066  1.671807e-02 -0.0042897642
##    4.110914e-03 -2.385848e-03 -0.0091425046  1.120724e-02 -0.0027742300
##    8.039867e-03 -4.652379e-03 -0.0178213084  2.192148e-02 -0.0054135853
##   -1.237570e-02  6.972647e-03  0.0266198461 -3.378571e-02  0.0081668477
##   -2.777291e-03  1.548962e-03  0.0059058636 -7.585546e-03  0.0018188413
##   -1.130716e-02  6.273490e-03  0.0239033643 -3.089029e-02  0.0073761525
##   -1.351974e-03  7.234287e-04  0.0027432341 -3.699448e-03  0.0008584499
##    2.606232e-04 -1.679523e-04 -0.0006514769  7.067854e-04 -0.0001905861
##    1.001577e-02 -5.845453e-03 -0.0224150242  2.729787e-02 -0.0067878173
##   -1.476142e-02  8.332935e-03  0.0318209472 -4.029512e-02  0.0097554244
##   -8.947998e-04  4.578257e-04  0.0017253216 -2.453154e-03  0.0005496876
##    5.406265e-03 -3.265449e-03 -0.0125735076  1.471009e-02 -0.0037609837
##   -1.287953e-02  7.166340e-03  0.0273154308 -3.518130e-02  0.0084199001
##    2.504703e-03 -1.481411e-03 -0.0056898434  6.822159e-03 -0.0017147382
##    6.608600e-03 -3.849694e-03 -0.0147586644  1.801328e-02 -0.0044723477
##   -6.359144e-03  3.497320e-03  0.0133102823 -1.737959e-02  0.0041211362
##    4.299468e-03 -2.607116e-03 -0.0100432432  1.169629e-02 -0.0029999893
##    1.816506e-02 -1.090136e-02 -0.0419433165  4.944168e-02 -0.0125747637
##   -6.209793e-03  3.471398e-03  0.0132396581 -1.695885e-02  0.0040738663
##   -1.033521e-03  5.483831e-04  0.0020770827 -2.829094e-03  0.0006521538
##    4.767118e-03 -2.910661e-03 -0.0112216029  1.296403e-02 -0.0033438875
##   -8.262011e-03  4.613958e-03  0.0175950113 -2.256447e-02  0.0054160878
##   -8.553460e-04  4.359123e-04  0.0016418151 -2.345375e-03  0.0005239295
##    1.254770e-02 -7.414977e-03 -0.0284766807  3.417808e-02 -0.0085846246
##   -1.053225e-02  5.806144e-03  0.0221041859 -2.878165e-02  0.0068376936
##    5.438116e-03 -3.219231e-03 -0.0123658286  1.481138e-02 -0.0037254829
##    1.826404e-02 -1.071518e-02 -0.0411147475  4.976597e-02 -0.0124269551
##   -1.311219e-03  6.101745e-04  0.0022669096 -3.608360e-03  0.0007520194
##   -2.347408e-04  9.776248e-05  0.0003564439 -6.485494e-04  0.0001245231
##    1.221534e-02 -7.125259e-03 -0.0273207364  3.329364e-02 -0.0082750420
##    3.325414e-03 -2.067862e-03 -0.0079891459  9.034991e-03 -0.0023656062
##    1.854984e-03 -1.090700e-03 -0.0041862047  5.053930e-03 -0.0012642681
##    9.806371e-03 -5.692381e-03 -0.0218135507  2.673405e-02 -0.0066187189
##   -6.112903e-03  3.320999e-03  0.0126188413 -1.671575e-02  0.0039255321
##    2.141475e-03 -1.261718e-03 -0.0048437865  5.833906e-03 -0.0014617875
##    1.060148e-02 -6.192533e-03 -0.0237484019  2.889305e-02 -0.0071893802
##    7.693569e-03 -4.692414e-03 -0.0180886060  2.092355e-02 -0.0053921925
##    6.355890e-03 -3.688795e-03 -0.0141353762  1.732752e-02 -0.0042892690
##    7.844244e-03 -4.537636e-03 -0.0173810474  2.138843e-02 -0.0052805051
##    3.783335e+00  9.390051e-01 -0.0827913940 -1.122465e-02  0.0026823070
##    9.390051e-01  7.416654e+00 -0.1339251862  6.209418e-03 -0.0015850871
##   -8.279139e-02 -1.339252e-01  1.1814904013  2.365020e-02 -0.0060874101
##   -1.122465e-02  6.209418e-03  0.0236501954  4.766178e+00  1.2221522178
##    2.682307e-03 -1.585087e-03 -0.0060874101  1.222152e+00  4.9490888908
##    9.254901e-03 -5.382934e-03 -0.0206327711  1.462338e-01 -0.1180667846
##   -5.488350e-03  2.984878e-03  0.0113432838 -1.500719e-02  0.0035272665
##    1.013332e-03 -6.128212e-04 -0.0023599918  2.757040e-03 -0.0007056124
##    1.129481e-02 -6.589522e-03 -0.0252671027  3.078441e-02 -0.0076525146
## d -8.644248e+00 -1.157214e+01 -1.2745623381 -9.716462e+00 -9.3946358353
##           [,46]         [,47]         [,48]         [,49]         [,50]
##   -3.705123e-05 -5.242704e-06 -2.895837e-06 -0.0000171819 -3.291455e-04
##   -1.455036e-02  8.025211e-03 -1.661358e-03 -0.0178160080 -8.687216e+00
##   -9.490291e-03  5.431203e-03 -1.061346e-03 -0.0116011707 -9.580363e+00
##   -1.852974e-02  1.062999e-02 -2.069378e-03 -0.0226487380 -1.475098e+00
##    2.809915e-02 -1.647251e-02  3.098193e-03  0.0343111154 -8.681182e+00
##    6.270403e-03 -3.705877e-03  6.879798e-04  0.0076537088 -1.070825e+01
##    2.545506e-02 -1.510679e-02  2.785820e-03  0.0310645996 -1.382974e+00
##    2.983735e-03 -1.821819e-03  3.207695e-04  0.0036363073 -8.229742e+00
##   -6.391296e-04  3.346082e-04 -7.499951e-05 -0.0007843115 -1.212426e+01
##   -2.319519e-02  1.321353e-02 -2.600911e-03 -0.0283602843 -1.431246e+00
##    3.355217e-02 -1.963860e-02  3.702902e-03  0.0409726207 -1.003326e+01
##    1.927708e-03 -1.217975e-03  2.026112e-04  0.0023453442 -1.056088e+01
##   -1.276753e-02  7.068169e-03 -1.454825e-03 -0.0156305015 -1.344946e+00
##    2.904074e-02 -1.719562e-02  3.182667e-03  0.0354442622 -1.006988e+01
##   -5.844551e-03  3.292971e-03 -6.594818e-04 -0.0071495539 -9.396837e+00
##   -1.528836e-02  8.722758e-03 -1.712783e-03 -0.0186914646 -1.449577e+00
##    1.424660e-02 -8.514036e-03  1.552474e-03  0.0173803870 -8.612189e+00
##   -1.017656e-02  5.615210e-03 -1.161692e-03 -0.0124603371 -1.006300e+01
##   -4.274060e-02  2.379013e-02 -4.855622e-03 -0.0523121856 -1.183688e+00
##    1.403816e-02 -8.281350e-03  1.541983e-03  0.0171365900 -9.470371e+00
##    2.270504e-03 -1.395399e-03  2.430677e-04  0.0027662054 -1.134357e+01
##   -1.132827e-02  6.214345e-03 -1.297274e-03 -0.0138740407 -1.347236e+00
##    1.866702e-02 -1.102090e-02  2.049422e-03  0.0227862489 -8.999338e+00
##    1.838836e-03 -1.165277e-03  1.928798e-04  0.0022368826 -1.066433e+01
##   -2.926486e-02  1.650036e-02 -3.300828e-03 -0.0357981313 -1.346793e+00
##    2.362661e-02 -1.409325e-02  2.577619e-03  0.0288262614 -9.661738e+00
##   -1.269586e-02  7.147917e-03 -1.433157e-03 -0.0155311677 -9.123706e+00
##   -4.242237e-02  2.406273e-02 -4.768627e-03 -0.0518790468 -1.306878e+00
##    2.688570e-03 -1.820136e-03  2.688542e-04  0.0032592643 -9.104176e+00
##    4.555716e-04 -3.325289e-04  4.283094e-05  0.0005499348 -1.037002e+01
##   -2.828030e-02  1.611763e-02 -3.170289e-03 -0.0345770413 -1.416954e+00
##   -7.986374e-03  4.313154e-03 -9.222504e-04 -0.0097877161 -8.414356e+00
##   -4.314038e-03  2.442521e-03 -4.854401e-04 -0.0052761460 -9.977939e+00
##   -2.264098e-02  1.295523e-02 -2.532277e-03 -0.0276771015 -1.462382e+00
##    1.360316e-02 -8.208160e-03  1.473466e-03  0.0165877811 -8.312390e+00
##   -4.986074e-03  2.818259e-03 -5.615991e-04 -0.0060985206 -9.732203e+00
##   -2.456338e-02  1.398318e-02 -2.755432e-03 -0.0300340959 -1.442904e+00
##   -1.827117e-02  1.003217e-02 -2.091315e-03 -0.0223763023 -9.095465e+00
##   -1.467302e-02  8.397172e-03 -1.640963e-03 -0.0179366795 -8.910283e+00
##   -1.807542e-02  1.037224e-02 -2.018314e-03 -0.0220931458 -1.474254e+00
##    9.254901e-03 -5.488350e-03  1.013332e-03  0.0112948095 -8.644248e+00
##   -5.382934e-03  2.984878e-03 -6.128212e-04 -0.0065895215 -1.157214e+01
##   -2.063277e-02  1.134328e-02 -2.359992e-03 -0.0252671027 -1.274562e+00
##    1.462338e-01 -1.500719e-02  2.757040e-03  0.0307844108 -9.716462e+00
##   -1.180668e-01  3.527266e-03 -7.056124e-04 -0.0076525146 -9.394636e+00
##    1.377218e+00  1.222047e-02 -2.394801e-03 -0.0261518561 -1.441898e+00
##    1.222047e-02  2.566382e+00  9.319019e-01  0.1149106174 -8.258130e+00
##   -2.394801e-03  9.319019e-01  5.820609e+00  0.0038333598 -9.962411e+00
##   -2.615186e-02  1.149106e-01  3.833360e-03  1.3787216276 -1.442750e+00
## d -1.441898e+00 -8.258130e+00 -9.962411e+00 -1.4427498936  5.855500e+03
## 
## Model rank =  1025 / 1025 
## 
## Basis dimension (k) checking results. Low p-value (k-index<1) may
## indicate that k is too low, especially if edf is close to k'.
## 
##                                    k'      edf k-index p-value    
## s(bb.sp)                     1.60e+01 8.85e-04      NA      NA    
## te(yday,elev.mean):bb.spbss  6.30e+01 3.95e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.spgers 6.30e+01 4.15e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.sphort 6.30e+01 4.36e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.sphumi 6.30e+01 4.39e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.sphypn 6.30e+01 4.18e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.spjone 6.30e+01 3.97e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.splapi 6.30e+01 4.43e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.spmend 6.30e+01 4.20e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.spmont 6.30e+01 4.02e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.spmuci 6.30e+01 4.18e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.sppasc 6.30e+01 3.97e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.spprat 6.30e+01 3.90e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.sppsit 6.30e+01 3.90e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.sppyre 6.30e+01 4.30e+01    0.46  <2e-16 ***
## te(yday,elev.mean):bb.spsoro 6.30e+01 4.11e+01    0.45  <2e-16 ***
## te(yday,elev.mean):bb.spwurf 6.30e+01 3.93e+01    0.46  <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

weighted_fl_abundance.2012.sum <- summary(weighted_fl_abundance.2012)
print(plot(weighted_fl_abundance.2012, allTerms = TRUE), pages = 4)

## Hit <Return> to see next plot:

## Hit <Return> to see next plot:

## Hit <Return> to see next plot:

## Hit <Return> to see next plot:

weighted_fl_abundance.2012.ck <- check2D(weighted_fl_abundance.2012, 
                                         x1 = "yday", x2 = "elev.mean")

Bumbles

### 2010
bb_abund.2010 <- bam(bb.abund ~ 
                       s(bb.sp, bs = "re") + 
                       te(yday, elev.mean, 
                          by = bb.sp,
                          bs= c("gp", "cr"), 
                          k=c(8, 8), 
                          m=2),
                     data = filter(bb_abund_sp, year == 2010 & bb.total.abund >= 5),
                     discrete = TRUE,
                     family = "tw",
                     select = TRUE,
                     method = "fREML") %>% getViz(nsim = 500)


check.gamViz(bb_abund.2010)

## 
## Method: fREML   Optimizer: perf chol
## $grad
##  [1] -3.594810e-07 -2.946461e-07 -1.870161e-07 -3.003423e-08 -6.350309e-06
##  [6] -7.273269e-08 -9.639240e-08 -3.179879e-07 -2.745494e-07 -9.811496e-08
## [11] -3.334348e-07 -4.981661e-06 -2.524458e-07 -6.097508e-08 -1.022632e-05
## [16] -9.029786e-06 -3.703346e-09 -6.741992e-06 -7.741522e-08 -1.050725e-07
## [21] -8.849608e-06 -9.110371e-08 -2.754725e-07 -3.242950e-07 -1.627193e-07
## [26] -2.514731e-07 -2.034898e-07 -8.375873e-08 -4.120638e-07 -4.637223e-07
## [31] -7.929883e-08 -2.067409e-07 -1.259290e-05 -1.288488e-05 -1.693243e-07
## [36] -8.874348e-08 -7.811928e-08 -3.440866e-07 -3.387392e-07 -8.076127e-08
## [41] -2.526796e-07 -1.742804e-07 -5.526100e-08
## 
## $hess
##                [,1]          [,2]          [,3]          [,4]          [,5]
##  [1,]  5.580425e+00  4.070840e-02  2.611275e-02  1.837595e-04  4.839179e-07
##  [2,]  4.070840e-02  3.022246e+00 -8.017021e-02  2.891911e-02  1.235263e-09
##  [3,]  2.611275e-02 -8.017021e-02  8.411060e-01  6.366201e-02  7.956365e-10
##  [4,]  1.837595e-04  2.891911e-02  6.366201e-02  8.727813e-02  7.410066e-12
##  [5,]  4.839179e-07  1.235263e-09  7.956365e-10  7.410066e-12  5.990168e-06
##  [6,] -6.590616e-02 -1.484763e-04 -9.564538e-05 -8.970506e-07  2.431000e-07
##  [7,] -2.399125e-01 -5.387416e-04 -3.470472e-04 -3.255556e-06  1.148124e-06
##  [8,]  3.231373e-02 -1.744608e-04 -1.123818e-04 -1.052776e-06  1.841800e-09
##  [9,]  2.107463e-02 -1.148043e-04 -7.395332e-05 -6.929396e-07  1.211869e-09
## [10,]  1.609553e-03 -1.096334e-05 -7.062844e-06 -6.651066e-08  1.154502e-10
## [11,] -1.782431e-02 -1.101369e-04 -7.094772e-05 -6.653067e-07  1.162157e-09
## [12,] -1.871049e-07 -1.055436e-09 -6.799126e-10 -6.389220e-12  1.112566e-14
## [13,] -1.705386e-02 -9.832239e-05 -6.333877e-05 -5.948926e-07  1.036705e-09
## [14,] -3.762169e-02 -2.154753e-04 -1.388033e-04 -1.301024e-06  2.274177e-09
## [15,] -1.477332e-07 -6.732806e-10 -4.337538e-10 -4.090465e-12  7.085156e-15
## [16,] -3.316566e-07 -1.714252e-09 -1.104322e-09 -1.037759e-11  1.807031e-14
## [17,] -9.624207e-03 -2.896557e-05 -1.865926e-05 -1.751393e-07  3.055055e-10
## [18,]  2.327527e-09  2.075949e-10  1.336317e-10  1.199970e-12 -2.235072e-15
## [19,] -1.206988e-01 -3.728358e-04 -2.401716e-04 -2.251703e-06  3.934546e-09
## [20,] -1.056195e-01 -2.495577e-04 -1.607629e-04 -1.509429e-06  2.631733e-09
## [21,]  4.842551e-07  1.413673e-09  9.105083e-10  8.456620e-12 -1.498536e-14
## [22,] -1.328024e-01 -3.124017e-04 -2.012473e-04 -1.890018e-06  3.294063e-09
## [23,] -1.818092e-02 -4.150281e-05 -2.674138e-05 -2.541932e-07  4.350618e-10
## [24,] -3.066180e-02 -7.643774e-05 -4.924676e-05 -4.658336e-07  8.031914e-10
## [25,] -1.639397e-01 -4.832772e-04 -3.113185e-04 -2.920574e-06  5.098492e-09
## [26,]  1.778160e-02 -4.087052e-05 -2.632771e-05 -2.468010e-07  4.313342e-10
## [27,]  3.235331e-02 -7.405685e-05 -4.770528e-05 -4.470885e-07  7.816639e-10
## [28,]  5.350150e-02 -1.217346e-04 -7.841745e-05 -7.346566e-07  1.285119e-09
## [29,]  6.458901e-02 -2.492149e-04 -1.605361e-04 -1.504033e-06  2.630856e-09
## [30,]  2.602133e-02 -1.025098e-04 -6.603427e-05 -6.191121e-07  1.081776e-09
## [31,]  1.399222e-02 -5.673601e-05 -3.654855e-05 -3.430026e-07  5.984468e-10
## [32,]  2.192627e-02 -3.669645e-04 -2.363877e-04 -2.215296e-06  3.873366e-09
## [33,] -1.063978e-08 -1.041449e-10 -6.711222e-11 -6.428249e-13  1.087616e-15
## [34,] -4.045353e-07  5.510816e-09  3.549793e-09  3.320474e-11 -5.821945e-14
## [35,] -5.025153e-02 -1.144490e-04 -7.373276e-05 -6.954537e-07  1.204280e-09
## [36,]  2.541653e-02  8.131935e-05  5.237423e-05  4.856894e-07 -8.626402e-10
## [37,] -1.633952e-01 -4.039123e-04 -2.601966e-04 -2.442929e-06  4.259576e-09
## [38,]  2.193855e-02 -1.079607e-04 -6.954570e-05 -6.520698e-07  1.139269e-09
## [39,]  2.451504e-02 -1.181452e-04 -7.610557e-05 -7.131586e-07  1.247092e-09
## [40,]  2.478561e-02 -1.222740e-04 -7.876605e-05 -7.385716e-07  1.290269e-09
## [41,]  4.835753e-02 -1.232780e-04 -7.941124e-05 -7.437508e-07  1.301593e-09
## [42,]  2.958596e-02 -7.544548e-05 -4.859927e-05 -4.551787e-07  7.965623e-10
## [43,]  9.775967e-03 -2.518641e-05 -1.622433e-05 -1.520396e-07  2.658514e-10
##                [,6]          [,7]          [,8]          [,9]         [,10]
##  [1,] -6.590616e-02 -2.399125e-01  3.231373e-02  2.107463e-02  1.609553e-03
##  [2,] -1.484763e-04 -5.387416e-04 -1.744608e-04 -1.148043e-04 -1.096334e-05
##  [3,] -9.564538e-05 -3.470472e-04 -1.123818e-04 -7.395332e-05 -7.062844e-06
##  [4,] -8.970506e-07 -3.255556e-06 -1.052776e-06 -6.929396e-07 -6.651066e-08
##  [5,]  2.431000e-07  1.148124e-06  1.841800e-09  1.211869e-09  1.154502e-10
##  [6,]  7.359689e-01  1.494390e-01 -2.214044e-04 -1.456993e-04 -1.392177e-05
##  [7,]  1.494390e-01  8.156805e-01 -8.033608e-04 -5.286688e-04 -5.051918e-05
##  [8,] -2.214044e-04 -8.033608e-04  1.363843e+00  3.129561e-02 -6.371217e-02
##  [9,] -1.456993e-04 -5.286688e-04  3.129561e-02  6.487721e-01  8.740860e-02
## [10,] -1.392177e-05 -5.051918e-05 -6.371217e-02  8.740860e-02  3.892400e-01
## [11,] -1.397888e-04 -5.072292e-04 -1.642331e-04 -1.080764e-04 -1.032614e-05
## [12,] -1.339915e-09 -4.862100e-09 -1.573888e-09 -1.035765e-09 -9.905075e-11
## [13,] -1.248163e-04 -4.529126e-04 -1.466191e-04 -9.648813e-05 -9.225160e-06
## [14,] -2.734728e-04 -9.922993e-04 -3.213086e-04 -2.114407e-04 -2.019814e-05
## [15,] -8.551050e-10 -3.103069e-09 -1.004063e-09 -6.608125e-10 -6.328942e-11
## [16,] -2.176308e-09 -7.897092e-09 -2.556327e-09 -1.682302e-09 -1.608804e-10
## [17,] -3.676788e-05 -1.334157e-04 -4.319327e-05 -2.842457e-05 -2.716905e-06
## [18,]  2.621929e-10  9.507122e-10  3.093610e-10  2.034147e-10  1.908309e-11
## [19,] -4.732017e-04 -1.717025e-03 -5.559607e-04 -3.658578e-04 -3.495260e-05
## [20,] -3.167915e-04 -1.149514e-03 -3.721406e-04 -2.448993e-04 -2.341137e-05
## [21,]  1.792289e-09  6.502368e-09  2.107724e-09  1.386770e-09  1.319581e-10
## [22,] -3.965779e-04 -1.439034e-03 -4.658554e-04 -3.065729e-04 -2.931025e-05
## [23,] -5.275987e-05 -1.914841e-04 -6.190067e-05 -4.074546e-05 -3.915730e-06
## [24,] -9.711479e-05 -3.524351e-04 -1.139969e-04 -7.503013e-05 -7.195416e-06
## [25,] -6.134182e-04 -2.225827e-03 -7.206541e-04 -4.742424e-04 -4.531943e-05
## [26,] -5.187193e-05 -1.882182e-04 -6.094467e-05 -4.010541e-05 -3.831301e-06
## [27,] -9.398859e-05 -3.410379e-04 -1.104305e-04 -7.266987e-05 -6.941482e-06
## [28,] -1.544920e-04 -5.605716e-04 -1.815247e-04 -1.194532e-04 -1.140852e-05
## [29,] -3.162768e-04 -1.147605e-03 -3.716172e-04 -2.445447e-04 -2.335582e-05
## [30,] -1.301053e-04 -4.720908e-04 -1.528593e-04 -1.005913e-04 -9.610188e-06
## [31,] -7.201751e-05 -2.613217e-04 -8.460418e-05 -5.567606e-05 -5.321359e-06
## [32,] -4.657272e-04 -1.689891e-03 -5.472020e-04 -3.600912e-04 -3.439550e-05
## [33,] -1.325115e-10 -4.809917e-10 -1.553484e-10 -1.022717e-10 -9.860875e-12
## [34,]  6.992459e-09  2.537137e-08  8.217266e-09  5.407252e-09  5.160840e-10
## [35,] -1.453598e-04 -5.274942e-04 -1.706782e-04 -1.123303e-04 -1.075928e-05
## [36,]  1.030804e-04  3.739630e-04  1.212408e-04  7.976760e-05  7.585302e-06
## [37,] -5.127286e-04 -1.860492e-03 -6.023139e-04 -3.963721e-04 -3.789089e-05
## [38,] -1.370246e-04 -4.971978e-04 -1.609877e-04 -1.059404e-04 -1.012147e-05
## [39,] -1.499407e-04 -5.440592e-04 -1.761730e-04 -1.159320e-04 -1.107329e-05
## [40,] -1.551923e-04 -5.631206e-04 -1.823314e-04 -1.199861e-04 -1.146372e-05
## [41,] -1.564454e-04 -5.676568e-04 -1.838253e-04 -1.209665e-04 -1.155161e-05
## [42,] -9.574396e-05 -3.474037e-04 -1.125001e-04 -7.403089e-05 -7.069578e-06
## [43,] -3.196479e-05 -1.159842e-04 -3.755690e-05 -2.471463e-05 -2.360674e-06
##               [,11]         [,12]         [,13]         [,14]         [,15]
##  [1,] -1.782431e-02 -1.871049e-07 -1.705386e-02 -3.762169e-02 -1.477332e-07
##  [2,] -1.101369e-04 -1.055436e-09 -9.832239e-05 -2.154753e-04 -6.732806e-10
##  [3,] -7.094772e-05 -6.799126e-10 -6.333877e-05 -1.388033e-04 -4.337538e-10
##  [4,] -6.653067e-07 -6.389220e-12 -5.948926e-07 -1.301024e-06 -4.090465e-12
##  [5,]  1.162157e-09  1.112566e-14  1.036705e-09  2.274177e-09  7.085156e-15
##  [6,] -1.397888e-04 -1.339915e-09 -1.248163e-04 -2.734728e-04 -8.551050e-10
##  [7,] -5.072292e-04 -4.862100e-09 -4.529126e-04 -9.922993e-04 -3.103069e-09
##  [8,] -1.642331e-04 -1.573888e-09 -1.466191e-04 -3.213086e-04 -1.004063e-09
##  [9,] -1.080764e-04 -1.035765e-09 -9.648813e-05 -2.114407e-04 -6.608125e-10
## [10,] -1.032614e-05 -9.905075e-11 -9.225160e-06 -2.019814e-05 -6.328942e-11
## [11,]  4.834855e-01  1.268380e-06  4.494906e-02 -2.028548e-04 -6.342414e-10
## [12,]  1.268380e-06  4.973407e-06  3.348183e-07 -1.944206e-09 -6.085344e-15
## [13,]  4.494906e-02  3.348183e-07  2.847297e-01 -1.811125e-04 -5.667268e-10
## [14,] -2.028548e-04 -1.944206e-09 -1.811125e-04  3.936447e-01  2.146212e-07
## [15,] -6.342414e-10 -6.085344e-15 -5.667268e-10  2.146212e-07  1.021931e-05
## [16,] -1.614271e-09 -1.547864e-14 -1.441748e-09 -1.191584e-06 -1.377444e-11
## [17,] -2.727292e-05 -2.614547e-10 -2.435431e-05 -5.335317e-05 -1.668938e-10
## [18,]  1.945994e-10  1.851035e-15  1.727576e-10  3.813310e-10  1.165939e-15
## [19,] -3.510073e-04 -3.364276e-09 -3.133957e-04 -6.866955e-04 -2.146765e-09
## [20,] -2.349820e-04 -2.252808e-09 -2.098444e-04 -4.596824e-04 -1.438168e-09
## [21,]  1.329637e-09  1.272278e-14  1.185669e-09  2.602187e-09  8.095527e-15
## [22,] -2.941631e-04 -2.820312e-09 -2.627033e-04 -5.754495e-04 -1.800593e-09
## [23,] -3.912834e-05 -3.759612e-10 -3.500079e-05 -7.650782e-05 -2.409053e-10
## [24,] -7.202817e-05 -6.914659e-10 -6.438734e-05 -1.408640e-04 -4.424160e-10
## [25,] -4.550119e-04 -4.361614e-09 -4.062904e-04 -8.901438e-04 -2.783703e-09
## [26,] -3.847716e-05 -3.687809e-10 -3.435361e-05 -7.527542e-05 -2.353123e-10
## [27,] -6.971836e-05 -6.681802e-10 -6.224468e-05 -1.363960e-04 -4.263218e-10
## [28,] -1.145988e-04 -1.098244e-09 -1.023091e-04 -2.242026e-04 -7.006416e-10
## [29,] -2.346072e-04 -2.248342e-09 -2.094485e-04 -4.589879e-04 -1.434377e-09
## [30,] -9.650833e-05 -9.250009e-10 -8.616743e-05 -1.888045e-04 -5.902531e-10
## [31,] -5.341976e-05 -5.121011e-10 -4.770213e-05 -1.045040e-04 -3.268744e-10
## [32,] -3.454649e-04 -3.310905e-09 -3.084298e-04 -6.758635e-04 -2.112441e-09
## [33,] -9.826424e-11 -9.454667e-16 -8.798988e-11 -1.920788e-10 -6.072284e-16
## [34,]  5.186964e-09  4.969485e-14  4.629742e-09  1.014845e-08  3.168873e-14
## [35,] -1.078148e-04 -1.034482e-09 -9.634036e-05 -2.108748e-04 -6.613125e-10
## [36,]  7.647336e-05  7.315424e-10  6.817904e-05  1.496723e-04  4.652651e-10
## [37,] -3.803198e-04 -3.646156e-09 -3.396325e-04 -7.439999e-04 -2.327637e-09
## [38,] -1.016407e-04 -9.742028e-10 -9.075056e-05 -1.988449e-04 -6.216596e-10
## [39,] -1.112224e-04 -1.065930e-09 -9.929782e-05 -2.175950e-04 -6.800723e-10
## [40,] -1.151169e-04 -1.103382e-09 -1.027838e-04 -2.252084e-04 -7.041064e-10
## [41,] -1.160483e-04 -1.112077e-09 -1.035991e-04 -2.270409e-04 -7.094042e-10
## [42,] -7.102106e-05 -6.805882e-10 -6.340234e-05 -1.389479e-04 -4.341556e-10
## [43,] -2.371070e-05 -2.272397e-10 -2.116872e-05 -4.638742e-05 -1.449829e-10
##               [,16]         [,17]         [,18]         [,19]         [,20]
##  [1,] -3.316566e-07 -9.624207e-03  2.327527e-09 -1.206988e-01 -1.056195e-01
##  [2,] -1.714252e-09 -2.896557e-05  2.075949e-10 -3.728358e-04 -2.495577e-04
##  [3,] -1.104322e-09 -1.865926e-05  1.336317e-10 -2.401716e-04 -1.607629e-04
##  [4,] -1.037759e-11 -1.751393e-07  1.199970e-12 -2.251703e-06 -1.509429e-06
##  [5,]  1.807031e-14  3.055055e-10 -2.235072e-15  3.934546e-09  2.631733e-09
##  [6,] -2.176308e-09 -3.676788e-05  2.621929e-10 -4.732017e-04 -3.167915e-04
##  [7,] -7.897092e-09 -1.334157e-04  9.507122e-10 -1.717025e-03 -1.149514e-03
##  [8,] -2.556327e-09 -4.319327e-05  3.093610e-10 -5.559607e-04 -3.721406e-04
##  [9,] -1.682302e-09 -2.842457e-05  2.034147e-10 -3.658578e-04 -2.448993e-04
## [10,] -1.608804e-10 -2.716905e-06  1.908309e-11 -3.495260e-05 -2.341137e-05
## [11,] -1.614271e-09 -2.727292e-05  1.945994e-10 -3.510073e-04 -2.349820e-04
## [12,] -1.547864e-14 -2.614547e-10  1.851035e-15 -3.364276e-09 -2.252808e-09
## [13,] -1.441748e-09 -2.435431e-05  1.727576e-10 -3.133957e-04 -2.098444e-04
## [14,] -1.191584e-06 -5.335317e-05  3.813310e-10 -6.866955e-04 -4.596824e-04
## [15,] -1.377444e-11 -1.668938e-10  1.165939e-15 -2.146765e-09 -1.438168e-09
## [16,]  9.029808e-06 -4.246587e-10  3.006326e-15 -5.464301e-09 -3.659046e-09
## [17,] -4.246587e-10  3.910346e-03  1.035018e-07  1.786749e-02 -6.181138e-05
## [18,]  3.006326e-15  1.035018e-07  6.616097e-06  3.621733e-07  4.389946e-10
## [19,] -5.464301e-09  1.786749e-02  3.621733e-07  9.415790e-01 -7.954259e-04
## [20,] -3.659046e-09 -6.181138e-05  4.389946e-10 -7.954259e-04  7.222753e-01
## [21,]  2.066427e-14  3.494563e-10 -2.581880e-15  4.501785e-09 -2.151954e-06
## [22,] -4.580797e-09 -7.738035e-05  5.490545e-10 -9.957522e-04  1.157453e-01
## [23,] -6.106509e-10 -1.030276e-05  6.979853e-11 -1.324211e-04 -8.880081e-05
## [24,] -1.123100e-09 -1.895806e-05  1.309083e-10 -2.437855e-04 -1.633801e-04
## [25,] -7.084196e-09 -1.196817e-04  8.526489e-10 -1.540262e-03 -1.031183e-03
## [26,] -5.989787e-10 -1.012003e-05  7.230126e-11 -1.302509e-04 -8.719279e-05
## [27,] -1.085267e-09 -1.833654e-05  1.311221e-10 -2.360082e-04 -1.579841e-04
## [28,] -1.783781e-09 -3.013964e-05  2.158092e-10 -3.879386e-04 -2.596749e-04
## [29,] -3.651783e-09 -6.170214e-05  4.417586e-10 -7.941890e-04 -5.316091e-04
## [30,] -1.502399e-09 -2.538334e-05  1.812457e-10 -3.266943e-04 -2.187004e-04
## [31,] -8.317624e-10 -1.405141e-05  9.996637e-11 -1.808301e-04 -1.210688e-04
## [32,] -5.377613e-09 -9.085995e-05  6.498384e-10 -1.169457e-03 -7.828310e-04
## [33,] -1.535677e-15 -2.588957e-11  1.701161e-16 -3.325060e-10 -2.231919e-10
## [34,]  8.071481e-14  1.364010e-09 -9.822680e-15  1.755935e-08  1.175144e-08
## [35,] -1.680232e-09 -2.837072e-05  1.980652e-10 -3.649278e-04 -2.444791e-04
## [36,]  1.188166e-09  2.009634e-05 -1.492935e-10  2.589251e-04  1.730970e-04
## [37,] -5.922144e-09 -1.000418e-04  7.106209e-10 -1.287403e-03 -8.619828e-04
## [38,] -1.582313e-09 -2.673337e-05  1.908467e-10 -3.440678e-04 -2.303324e-04
## [39,] -1.731296e-09 -2.925216e-05  2.092803e-10 -3.765072e-04 -2.520301e-04
## [40,] -1.792128e-09 -3.027801e-05  2.160966e-10 -3.896860e-04 -2.608732e-04
## [41,] -1.806248e-09 -3.052014e-05  2.187681e-10 -3.928473e-04 -2.629511e-04
## [42,] -1.105419e-09 -1.867822e-05  1.338776e-10 -2.404208e-04 -1.609252e-04
## [43,] -3.690855e-10 -6.236080e-06  4.460747e-11 -8.026477e-05 -5.372875e-05
##               [,21]         [,22]         [,23]         [,24]         [,25]
##  [1,]  4.842551e-07 -1.328024e-01 -1.818092e-02 -3.066180e-02 -1.639397e-01
##  [2,]  1.413673e-09 -3.124017e-04 -4.150281e-05 -7.643774e-05 -4.832772e-04
##  [3,]  9.105083e-10 -2.012473e-04 -2.674138e-05 -4.924676e-05 -3.113185e-04
##  [4,]  8.456620e-12 -1.890018e-06 -2.541932e-07 -4.658336e-07 -2.920574e-06
##  [5,] -1.498536e-14  3.294063e-09  4.350618e-10  8.031914e-10  5.098492e-09
##  [6,]  1.792289e-09 -3.965779e-04 -5.275987e-05 -9.711479e-05 -6.134182e-04
##  [7,]  6.502368e-09 -1.439034e-03 -1.914841e-04 -3.524351e-04 -2.225827e-03
##  [8,]  2.107724e-09 -4.658554e-04 -6.190067e-05 -1.139969e-04 -7.206541e-04
##  [9,]  1.386770e-09 -3.065729e-04 -4.074546e-05 -7.503013e-05 -4.742424e-04
## [10,]  1.319581e-10 -2.931025e-05 -3.915730e-06 -7.195416e-06 -4.531943e-05
## [11,]  1.329637e-09 -2.941631e-04 -3.912834e-05 -7.202817e-05 -4.550119e-04
## [12,]  1.272278e-14 -2.820312e-09 -3.759612e-10 -6.914659e-10 -4.361614e-09
## [13,]  1.185669e-09 -2.627033e-04 -3.500079e-05 -6.438734e-05 -4.062904e-04
## [14,]  2.602187e-09 -5.754495e-04 -7.650782e-05 -1.408640e-04 -8.901438e-04
## [15,]  8.095527e-15 -1.800593e-09 -2.409053e-10 -4.424160e-10 -2.783703e-09
## [16,]  2.066427e-14 -4.580797e-09 -6.106509e-10 -1.123100e-09 -7.084196e-09
## [17,]  3.494563e-10 -7.738035e-05 -1.030276e-05 -1.895806e-05 -1.196817e-04
## [18,] -2.581880e-15  5.490545e-10  6.979853e-11  1.309083e-10  8.526489e-10
## [19,]  4.501785e-09 -9.957522e-04 -1.324211e-04 -2.437855e-04 -1.540262e-03
## [20,] -2.151954e-06  1.157453e-01 -8.880081e-05 -1.633801e-04 -1.031183e-03
## [21,]  8.822105e-06  1.012967e-06  4.961655e-10  9.170688e-10  5.832681e-09
## [22,]  1.012967e-06  7.425727e-01 -1.111980e-04 -2.045660e-04 -1.290901e-03
## [23,]  4.961655e-10 -1.111980e-04  3.132812e-01  1.359868e-01  8.105172e-03
## [24,]  9.170688e-10 -2.045660e-04  1.359868e-01  5.669979e-01  7.350025e-02
## [25,]  5.832681e-09 -1.290901e-03  8.105172e-03  7.350025e-02  9.474024e-01
## [26,]  4.935339e-10 -1.091518e-04 -1.451374e-05 -2.672103e-05 -1.688416e-04
## [27,]  8.944333e-10 -1.977705e-04 -2.629054e-05 -4.840813e-05 -3.059285e-04
## [28,]  1.470643e-09 -3.250683e-04 -4.319683e-05 -7.954927e-05 -5.028604e-04
## [29,]  3.010635e-09 -6.654837e-04 -8.843575e-05 -1.628571e-04 -1.029459e-03
## [30,]  1.237727e-09 -2.737797e-04 -3.640979e-05 -6.702923e-05 -4.234905e-04
## [31,]  6.845636e-10 -1.515630e-04 -2.017679e-05 -3.712944e-05 -2.344206e-04
## [32,]  4.432218e-09 -9.799765e-04 -1.302665e-04 -2.398613e-04 -1.515919e-03
## [33,]  1.238125e-15 -2.795311e-10 -3.800269e-11 -6.934156e-11 -4.315240e-10
## [34,] -6.664819e-14  1.471030e-08  1.951641e-09  3.596407e-09  2.275919e-08
## [35,]  1.375956e-09 -3.060902e-04 -4.096011e-05 -7.521646e-05 -4.732052e-04
## [36,] -9.894881e-10  2.166406e-04  2.848523e-05  5.268428e-05  3.354453e-04
## [37,]  4.872056e-09 -1.079104e-03 -1.437178e-04 -2.644237e-04 -1.668973e-03
## [38,]  1.303492e-09 -2.883416e-04 -3.834854e-05 -7.059678e-05 -4.460129e-04
## [39,]  1.427052e-09 -3.155000e-04 -4.193512e-05 -7.721842e-05 -4.880485e-04
## [40,]  1.476235e-09 -3.265746e-04 -4.343649e-05 -7.996101e-05 -5.051493e-04
## [41,]  1.489596e-09 -3.291676e-04 -4.372840e-05 -8.053804e-05 -5.092154e-04
## [42,]  9.116150e-10 -2.014496e-04 -2.676208e-05 -4.928950e-05 -3.116378e-04
## [43,]  3.042114e-10 -6.725956e-05 -8.940328e-06 -1.646220e-05 -1.040437e-04
##               [,26]         [,27]         [,28]         [,29]         [,30]
##  [1,]  1.778160e-02  3.235331e-02  5.350150e-02  6.458901e-02  2.602133e-02
##  [2,] -4.087052e-05 -7.405685e-05 -1.217346e-04 -2.492149e-04 -1.025098e-04
##  [3,] -2.632771e-05 -4.770528e-05 -7.841745e-05 -1.605361e-04 -6.603427e-05
##  [4,] -2.468010e-07 -4.470885e-07 -7.346566e-07 -1.504033e-06 -6.191121e-07
##  [5,]  4.313342e-10  7.816639e-10  1.285119e-09  2.630856e-09  1.081776e-09
##  [6,] -5.187193e-05 -9.398859e-05 -1.544920e-04 -3.162768e-04 -1.301053e-04
##  [7,] -1.882182e-04 -3.410379e-04 -5.605716e-04 -1.147605e-03 -4.720908e-04
##  [8,] -6.094467e-05 -1.104305e-04 -1.815247e-04 -3.716172e-04 -1.528593e-04
##  [9,] -4.010541e-05 -7.266987e-05 -1.194532e-04 -2.445447e-04 -1.005913e-04
## [10,] -3.831301e-06 -6.941482e-06 -1.140852e-05 -2.335582e-05 -9.610188e-06
## [11,] -3.847716e-05 -6.971836e-05 -1.145988e-04 -2.346072e-04 -9.650833e-05
## [12,] -3.687809e-10 -6.681802e-10 -1.098244e-09 -2.248342e-09 -9.250009e-10
## [13,] -3.435361e-05 -6.224468e-05 -1.023091e-04 -2.094485e-04 -8.616743e-05
## [14,] -7.527542e-05 -1.363960e-04 -2.242026e-04 -4.589879e-04 -1.888045e-04
## [15,] -2.353123e-10 -4.263218e-10 -7.006416e-10 -1.434377e-09 -5.902531e-10
## [16,] -5.989787e-10 -1.085267e-09 -1.783781e-09 -3.651783e-09 -1.502399e-09
## [17,] -1.012003e-05 -1.833654e-05 -3.013964e-05 -6.170214e-05 -2.538334e-05
## [18,]  7.230126e-11  1.311221e-10  2.158092e-10  4.417586e-10  1.812457e-10
## [19,] -1.302509e-04 -2.360082e-04 -3.879386e-04 -7.941890e-04 -3.266943e-04
## [20,] -8.719279e-05 -1.579841e-04 -2.596749e-04 -5.316091e-04 -2.187004e-04
## [21,]  4.935339e-10  8.944333e-10  1.470643e-09  3.010635e-09  1.237727e-09
## [22,] -1.091518e-04 -1.977705e-04 -3.250683e-04 -6.654837e-04 -2.737797e-04
## [23,] -1.451374e-05 -2.629054e-05 -4.319683e-05 -8.843575e-05 -3.640979e-05
## [24,] -2.672103e-05 -4.840813e-05 -7.954927e-05 -1.628571e-04 -6.702923e-05
## [25,] -1.688416e-04 -3.059285e-04 -5.028604e-04 -1.029459e-03 -4.234905e-04
## [26,]  1.802472e+00  3.024417e-01  1.687769e-01 -8.705928e-05 -3.581205e-05
## [27,]  3.024417e-01  7.373531e-01 -9.606386e-02 -1.577494e-04 -6.488961e-05
## [28,]  1.687769e-01 -9.606386e-02  1.088873e+00 -2.593061e-04 -1.066623e-04
## [29,] -8.705928e-05 -1.577494e-04 -2.593061e-04  2.628034e+00  5.183019e-01
## [30,] -3.581205e-05 -6.488961e-05 -1.066623e-04  5.183019e-01  2.836637e+00
## [31,] -1.982229e-05 -3.591624e-05 -5.903553e-05 -5.074117e-02  5.851342e-02
## [32,] -1.281959e-04 -2.322865e-04 -3.818260e-04 -7.816744e-04 -3.215380e-04
## [33,] -3.644053e-11 -6.599858e-11 -1.084138e-10 -2.219570e-10 -9.142548e-11
## [34,]  1.924895e-09  3.487980e-09  5.733767e-09  1.173812e-08  4.827862e-09
## [35,] -4.000057e-05 -7.246987e-05 -1.191005e-04 -2.438265e-04 -1.003369e-04
## [36,]  2.838662e-05  5.144682e-05  8.459374e-05  1.731758e-04  7.118900e-05
## [37,] -1.411222e-04 -2.556988e-04 -4.202867e-04 -8.604153e-04 -3.539681e-04
## [38,] -3.771651e-05 -6.834031e-05 -1.123342e-04 -2.299709e-04 -9.460032e-05
## [39,] -4.127276e-05 -7.478496e-05 -1.229297e-04 -2.516618e-04 -1.035193e-04
## [40,] -4.271712e-05 -7.740103e-05 -1.272274e-04 -2.604605e-04 -1.071429e-04
## [41,] -4.306421e-05 -7.803186e-05 -1.282689e-04 -2.625918e-04 -1.080118e-04
## [42,] -2.635510e-05 -4.775513e-05 -7.849992e-05 -1.607049e-04 -6.610277e-05
## [43,] -8.798629e-06 -1.594283e-05 -2.620640e-05 -5.364976e-05 -2.206851e-05
##               [,31]         [,32]         [,33]         [,34]         [,35]
##  [1,]  1.399222e-02  2.192627e-02 -1.063978e-08 -4.045353e-07 -5.025153e-02
##  [2,] -5.673601e-05 -3.669645e-04 -1.041449e-10  5.510816e-09 -1.144490e-04
##  [3,] -3.654855e-05 -2.363877e-04 -6.711222e-11  3.549793e-09 -7.373276e-05
##  [4,] -3.430026e-07 -2.215296e-06 -6.428249e-13  3.320474e-11 -6.954537e-07
##  [5,]  5.984468e-10  3.873366e-09  1.087616e-15 -5.821945e-14  1.204280e-09
##  [6,] -7.201751e-05 -4.657272e-04 -1.325115e-10  6.992459e-09 -1.453598e-04
##  [7,] -2.613217e-04 -1.689891e-03 -4.809917e-10  2.537137e-08 -5.274942e-04
##  [8,] -8.460418e-05 -5.472020e-04 -1.553484e-10  8.217266e-09 -1.706782e-04
##  [9,] -5.567606e-05 -3.600912e-04 -1.022717e-10  5.407252e-09 -1.123303e-04
## [10,] -5.321359e-06 -3.439550e-05 -9.860875e-12  5.160840e-10 -1.075928e-05
## [11,] -5.341976e-05 -3.454649e-04 -9.826424e-11  5.186964e-09 -1.078148e-04
## [12,] -5.121011e-10 -3.310905e-09 -9.454667e-16  4.969485e-14 -1.034482e-09
## [13,] -4.770213e-05 -3.084298e-04 -8.798988e-11  4.629742e-09 -9.634036e-05
## [14,] -1.045040e-04 -6.758635e-04 -1.920788e-10  1.014845e-08 -2.108748e-04
## [15,] -3.268744e-10 -2.112441e-09 -6.072284e-16  3.168873e-14 -6.613125e-10
## [16,] -8.317624e-10 -5.377613e-09 -1.535677e-15  8.071481e-14 -1.680232e-09
## [17,] -1.405141e-05 -9.085995e-05 -2.588957e-11  1.364010e-09 -2.837072e-05
## [18,]  9.996637e-11  6.498384e-10  1.701161e-16 -9.822680e-15  1.980652e-10
## [19,] -1.808301e-04 -1.169457e-03 -3.325060e-10  1.755935e-08 -3.649278e-04
## [20,] -1.210688e-04 -7.828310e-04 -2.231919e-10  1.175144e-08 -2.444791e-04
## [21,]  6.845636e-10  4.432218e-09  1.238125e-15 -6.664819e-14  1.375956e-09
## [22,] -1.515630e-04 -9.799765e-04 -2.795311e-10  1.471030e-08 -3.060902e-04
## [23,] -2.017679e-05 -1.302665e-04 -3.800269e-11  1.951641e-09 -4.096011e-05
## [24,] -3.712944e-05 -2.398613e-04 -6.934156e-11  3.596407e-09 -7.521646e-05
## [25,] -2.344206e-04 -1.515919e-03 -4.315240e-10  2.275919e-08 -4.732052e-04
## [26,] -1.982229e-05 -1.281959e-04 -3.644053e-11  1.924895e-09 -4.000057e-05
## [27,] -3.591624e-05 -2.322865e-04 -6.599858e-11  3.487980e-09 -7.246987e-05
## [28,] -5.903553e-05 -3.818260e-04 -1.084138e-10  5.733767e-09 -1.191005e-04
## [29,] -5.074117e-02 -7.816744e-04 -2.219570e-10  1.173812e-08 -2.438265e-04
## [30,]  5.851342e-02 -3.215380e-04 -9.142548e-11  4.827862e-09 -1.003369e-04
## [31,]  7.798630e-01 -1.779698e-04 -5.069702e-11  2.671782e-09 -5.556612e-05
## [32,] -1.779698e-04  2.027040e+00  2.881587e-06  9.778900e-06 -3.590907e-04
## [33,] -5.069702e-11  2.881587e-06  1.258974e-05 -8.111152e-12 -1.032565e-10
## [34,]  2.671782e-09  9.778900e-06 -8.111152e-12  1.288691e-05  5.386565e-09
## [35,] -5.556612e-05 -3.590907e-04 -1.032565e-10  5.386565e-09  1.117421e+00
## [36,]  3.936824e-05  2.549378e-04  7.100608e-11 -3.834484e-09 -1.931231e-03
## [37,] -1.959500e-04 -1.267019e-03 -3.612107e-10  1.901994e-08 -3.692535e-03
## [38,] -5.236303e-05 -3.386366e-04 -9.629718e-11  5.084553e-09 -1.056758e-04
## [39,] -5.729704e-05 -3.705717e-04 -1.052629e-10  5.564566e-09 -1.156043e-04
## [40,] -5.930592e-05 -3.835338e-04 -1.090785e-10  5.758611e-09 -1.196911e-04
## [41,] -5.978104e-05 -3.866614e-04 -1.097268e-10  5.806647e-09 -1.205895e-04
## [42,] -3.658578e-05 -2.366349e-04 -6.715425e-11  3.553631e-09 -7.380080e-05
## [43,] -1.221478e-05 -7.899930e-05 -2.244213e-11  1.186258e-09 -2.464542e-05
##               [,36]         [,37]         [,38]         [,39]         [,40]
##  [1,]  2.541653e-02 -1.633952e-01  2.193855e-02  2.451504e-02  2.478561e-02
##  [2,]  8.131935e-05 -4.039123e-04 -1.079607e-04 -1.181452e-04 -1.222740e-04
##  [3,]  5.237423e-05 -2.601966e-04 -6.954570e-05 -7.610557e-05 -7.876605e-05
##  [4,]  4.856894e-07 -2.442929e-06 -6.520698e-07 -7.131586e-07 -7.385716e-07
##  [5,] -8.626402e-10  4.259576e-09  1.139269e-09  1.247092e-09  1.290269e-09
##  [6,]  1.030804e-04 -5.127286e-04 -1.370246e-04 -1.499407e-04 -1.551923e-04
##  [7,]  3.739630e-04 -1.860492e-03 -4.971978e-04 -5.440592e-04 -5.631206e-04
##  [8,]  1.212408e-04 -6.023139e-04 -1.609877e-04 -1.761730e-04 -1.823314e-04
##  [9,]  7.976760e-05 -3.963721e-04 -1.059404e-04 -1.159320e-04 -1.199861e-04
## [10,]  7.585302e-06 -3.789089e-05 -1.012147e-05 -1.107329e-05 -1.146372e-05
## [11,]  7.647336e-05 -3.803198e-04 -1.016407e-04 -1.112224e-04 -1.151169e-04
## [12,]  7.315424e-10 -3.646156e-09 -9.742028e-10 -1.065930e-09 -1.103382e-09
## [13,]  6.817904e-05 -3.396325e-04 -9.075056e-05 -9.929782e-05 -1.027838e-04
## [14,]  1.496723e-04 -7.439999e-04 -1.988449e-04 -2.175950e-04 -2.252084e-04
## [15,]  4.652651e-10 -2.327637e-09 -6.216596e-10 -6.800723e-10 -7.041064e-10
## [16,]  1.188166e-09 -5.922144e-09 -1.582313e-09 -1.731296e-09 -1.792128e-09
## [17,]  2.009634e-05 -1.000418e-04 -2.673337e-05 -2.925216e-05 -3.027801e-05
## [18,] -1.492935e-10  7.106209e-10  1.908467e-10  2.092803e-10  2.160966e-10
## [19,]  2.589251e-04 -1.287403e-03 -3.440678e-04 -3.765072e-04 -3.896860e-04
## [20,]  1.730970e-04 -8.619828e-04 -2.303324e-04 -2.520301e-04 -2.608732e-04
## [21,] -9.894881e-10  4.872056e-09  1.303492e-09  1.427052e-09  1.476235e-09
## [22,]  2.166406e-04 -1.079104e-03 -2.883416e-04 -3.155000e-04 -3.265746e-04
## [23,]  2.848523e-05 -1.437178e-04 -3.834854e-05 -4.193512e-05 -4.343649e-05
## [24,]  5.268428e-05 -2.644237e-04 -7.059678e-05 -7.721842e-05 -7.996101e-05
## [25,]  3.354453e-04 -1.668973e-03 -4.460129e-04 -4.880485e-04 -5.051493e-04
## [26,]  2.838662e-05 -1.411222e-04 -3.771651e-05 -4.127276e-05 -4.271712e-05
## [27,]  5.144682e-05 -2.556988e-04 -6.834031e-05 -7.478496e-05 -7.740103e-05
## [28,]  8.459374e-05 -4.202867e-04 -1.123342e-04 -1.229297e-04 -1.272274e-04
## [29,]  1.731758e-04 -8.604153e-04 -2.299709e-04 -2.516618e-04 -2.604605e-04
## [30,]  7.118900e-05 -3.539681e-04 -9.460032e-05 -1.035193e-04 -1.071429e-04
## [31,]  3.936824e-05 -1.959500e-04 -5.236303e-05 -5.729704e-05 -5.930592e-05
## [32,]  2.549378e-04 -1.267019e-03 -3.386366e-04 -3.705717e-04 -3.835338e-04
## [33,]  7.100608e-11 -3.612107e-10 -9.629718e-11 -1.052629e-10 -1.090785e-10
## [34,] -3.834484e-09  1.901994e-08  5.084553e-09  5.564566e-09  5.758611e-09
## [35,] -1.931231e-03 -3.692535e-03 -1.056758e-04 -1.156043e-04 -1.196911e-04
## [36,]  3.622891e-01  8.017559e-02  7.497101e-05  8.208388e-05  8.490564e-05
## [37,]  8.017559e-02  9.130039e-01 -3.727945e-04 -4.079133e-04 -4.222250e-04
## [38,]  7.497101e-05 -3.727945e-04  2.167737e+00  2.351223e-01  1.374184e-01
## [39,]  8.208388e-05 -4.079133e-04  2.351223e-01  1.363639e+00  2.546329e-03
## [40,]  8.490564e-05 -4.222250e-04  1.374184e-01  2.546329e-03  9.726269e-01
## [41,]  8.568718e-05 -4.255898e-04 -1.137554e-04 -1.244868e-04 -1.288368e-04
## [42,]  5.243942e-05 -2.604595e-04 -6.961778e-05 -7.618529e-05 -7.884758e-05
## [43,]  1.749810e-05 -8.696051e-05 -2.324206e-05 -2.543395e-05 -2.632354e-05
##               [,41]         [,42]         [,43]
##  [1,]  4.835753e-02  2.958596e-02  9.775967e-03
##  [2,] -1.232780e-04 -7.544548e-05 -2.518641e-05
##  [3,] -7.941124e-05 -4.859927e-05 -1.622433e-05
##  [4,] -7.437508e-07 -4.551787e-07 -1.520396e-07
##  [5,]  1.301593e-09  7.965623e-10  2.658514e-10
##  [6,] -1.564454e-04 -9.574396e-05 -3.196479e-05
##  [7,] -5.676568e-04 -3.474037e-04 -1.159842e-04
##  [8,] -1.838253e-04 -1.125001e-04 -3.755690e-05
##  [9,] -1.209665e-04 -7.403089e-05 -2.471463e-05
## [10,] -1.155161e-05 -7.069578e-06 -2.360674e-06
## [11,] -1.160483e-04 -7.102106e-05 -2.371070e-05
## [12,] -1.112077e-09 -6.805882e-10 -2.272397e-10
## [13,] -1.035991e-04 -6.340234e-05 -2.116872e-05
## [14,] -2.270409e-04 -1.389479e-04 -4.638742e-05
## [15,] -7.094042e-10 -4.341556e-10 -1.449829e-10
## [16,] -1.806248e-09 -1.105419e-09 -3.690855e-10
## [17,] -3.052014e-05 -1.867822e-05 -6.236080e-06
## [18,]  2.187681e-10  1.338776e-10  4.460747e-11
## [19,] -3.928473e-04 -2.404208e-04 -8.026477e-05
## [20,] -2.629511e-04 -1.609252e-04 -5.372875e-05
## [21,]  1.489596e-09  9.116150e-10  3.042114e-10
## [22,] -3.291676e-04 -2.014496e-04 -6.725956e-05
## [23,] -4.372840e-05 -2.676208e-05 -8.940328e-06
## [24,] -8.053804e-05 -4.928950e-05 -1.646220e-05
## [25,] -5.092154e-04 -3.116378e-04 -1.040437e-04
## [26,] -4.306421e-05 -2.635510e-05 -8.798629e-06
## [27,] -7.803186e-05 -4.775513e-05 -1.594283e-05
## [28,] -1.282689e-04 -7.849992e-05 -2.620640e-05
## [29,] -2.625918e-04 -1.607049e-04 -5.364976e-05
## [30,] -1.080118e-04 -6.610277e-05 -2.206851e-05
## [31,] -5.978104e-05 -3.658578e-05 -1.221478e-05
## [32,] -3.866614e-04 -2.366349e-04 -7.899930e-05
## [33,] -1.097268e-10 -6.715425e-11 -2.244213e-11
## [34,]  5.806647e-09  3.553631e-09  1.186258e-09
## [35,] -1.205895e-04 -7.380080e-05 -2.464542e-05
## [36,]  8.568718e-05  5.243942e-05  1.749810e-05
## [37,] -4.255898e-04 -2.604595e-04 -8.696051e-05
## [38,] -1.137554e-04 -6.961778e-05 -2.324206e-05
## [39,] -1.244868e-04 -7.618529e-05 -2.543395e-05
## [40,] -1.288368e-04 -7.884758e-05 -2.632354e-05
## [41,]  1.636376e+00  1.376666e-01  4.769780e-02
## [42,]  1.376666e-01  6.935855e-01  3.454003e-02
## [43,]  4.769780e-02  3.454003e-02  4.779399e-01
## 
## Model rank =  897 / 897 
## 
## Basis dimension (k) checking results. Low p-value (k-index<1) may
## indicate that k is too low, especially if edf is close to k'.
## 
##                                 k'   edf k-index p-value    
## s(bb.sp)                     14.00 12.22      NA      NA    
## te(yday,elev.mean):bb.spbss  63.00 12.53    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spgers 63.00  3.73    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sphort 63.00 11.75    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sphypn 63.00  3.28    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spjone 63.00  1.97    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spmend 63.00  2.38    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spmont 63.00  3.50    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spmuci 63.00  6.67    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sppasc 63.00 13.56    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spprat 63.00 20.20    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sppsit 63.00  5.58    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sppyre 63.00  5.88    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spsoro 63.00 16.88    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spwurf 63.00 11.21    0.79  <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

bb_abund.2010.sum <- summary(bb_abund.2010)
print(plot(bb_abund.2010, allTerms = TRUE), pages = 1)

bb_abund.2010.ck <- check2D(bb_abund.2010, x1 = "yday", x2 = "elev.mean") # See if there is any spatiotemporal pattern to the residuals

### 2011
bb_abund.2011 <- bam(bb.abund ~ 
                       s(bb.sp, bs = "re") + 
                       te(yday, elev.mean, 
                          by = bb.sp,
                          bs= c("gp", "cr"), 
                          k=c(8, 8), 
                          m=2),
                     data = filter(bb_abund_sp, year == 2011 & bb.total.abund >= 5),
                     discrete = TRUE,
                     family = "tw",
                     select = TRUE,
                     method = "fREML") %>% getViz(nsim = 500)


check.gamViz(bb_abund.2011)

## 
## Method: fREML   Optimizer: perf chol
## $grad
##  [1] -1.673748e-06 -1.173756e-06 -1.335395e-06 -1.885725e-05 -9.175713e-07
##  [6] -5.517066e-07 -3.298680e-07 -1.371886e-06 -4.269361e-07 -9.411221e-06
## [11] -1.174338e-06 -6.467487e-07 -5.164697e-07 -1.507053e-06 -1.865500e-06
## [16] -7.742309e-07 -3.544177e-07 -9.668705e-06 -4.871355e-07 -1.167894e-06
## [21] -1.177223e-06 -3.840149e-07 -3.038669e-06 -1.957548e-06 -3.545472e-06
## [26] -8.411084e-07 -6.346016e-07 -3.150642e-07 -1.335620e-06 -1.382053e-06
## [31] -3.596327e-07 -1.085922e-06 -7.597156e-07 -4.053763e-07 -5.096317e-06
## [36] -3.211936e-06 -2.073263e-06 -1.714865e-06 -1.616217e-06 -2.837199e-07
## [41] -1.407783e-06 -1.354628e-06 -2.805666e-07
## 
## $hess
##                [,1]          [,2]          [,3]          [,4]          [,5]
##  [1,]  6.166366e+00  2.112723e-02  1.267883e-02 -2.247799e-07  4.709490e-03
##  [2,]  2.112723e-02  2.640557e+00  7.208068e-01  2.157681e-05 -1.881853e-05
##  [3,]  1.267883e-02  7.208068e-01  2.605725e+00  5.313299e-07 -1.132532e-05
##  [4,] -2.247799e-07  2.157681e-05  5.313299e-07  1.885750e-05  1.988533e-10
##  [5,]  4.709490e-03 -1.881853e-05 -1.132532e-05  1.988533e-10  2.172060e+00
##  [6,] -4.563365e-04  1.349659e-06  8.121957e-07 -1.426394e-11 -1.532296e-01
##  [7,]  7.339360e-03 -2.925386e-05 -1.760548e-05  3.091225e-10  6.732647e-03
##  [8,] -6.377538e-02 -7.545265e-05 -4.540898e-05  7.972888e-10 -8.804542e-05
##  [9,] -1.593385e-02 -1.874508e-05 -1.128122e-05  1.980728e-10 -2.187365e-05
## [10,] -3.460046e-07 -4.042094e-10 -2.432636e-10  4.271095e-15 -4.716745e-10
## [11,] -1.378498e-02 -3.912241e-05 -2.354477e-05  4.133925e-10 -4.565199e-05
## [12,] -7.311878e-03 -2.097794e-05 -1.262498e-05  2.216679e-10 -2.447911e-05
## [13,] -2.296313e-02 -6.656162e-05 -4.005811e-05  7.033422e-10 -7.767039e-05
## [14,] -2.250442e-02 -4.676290e-05 -2.814292e-05  4.941302e-10 -5.456752e-05
## [15,] -1.942423e-02 -4.105572e-05 -2.470807e-05  4.338304e-10 -4.790752e-05
## [16,] -1.186922e-02 -2.509490e-05 -1.510256e-05  2.651745e-10 -2.928299e-05
## [17,] -4.261499e-02 -3.076420e-05 -1.851452e-05  3.250781e-10 -3.589859e-05
## [18,] -2.057346e-08  1.093241e-13  5.666710e-14 -1.544273e-18  1.085715e-13
## [19,] -1.816783e-01 -1.301882e-04 -7.835051e-05  1.375644e-09 -1.519172e-04
## [20,] -3.272124e-03 -3.652018e-05 -2.197853e-05  3.859026e-10 -4.261510e-05
## [21,] -4.862908e-03 -4.658714e-05 -2.803732e-05  4.922655e-10 -5.436280e-05
## [22,] -7.930694e-03 -8.253792e-05 -4.967311e-05  8.721542e-10 -9.631334e-05
## [23,] -8.536664e-06 -6.680947e-09 -4.020887e-09  7.058932e-14 -7.796292e-09
## [24,] -1.136703e-02 -9.273169e-06 -5.580786e-06  9.798721e-11 -1.082083e-05
## [25,] -9.788311e-02 -7.944462e-05 -4.781165e-05  8.394615e-10 -9.270409e-05
## [26,]  1.691446e-02 -1.429228e-05 -8.601347e-06  1.510248e-10 -1.667751e-05
## [27,]  1.785143e-02 -1.508231e-05 -9.076799e-06  1.593730e-10 -1.759939e-05
## [28,]  1.273284e-02 -1.072497e-05 -6.454457e-06  1.133302e-10 -1.251482e-05
## [29,]  1.891458e-02 -3.049793e-05 -1.835421e-05  3.222673e-10 -3.558776e-05
## [30,]  1.837059e-02 -2.954639e-05 -1.778154e-05  3.122133e-10 -3.447737e-05
## [31,]  1.595887e-02 -2.567774e-05 -1.545332e-05  2.713336e-10 -2.996309e-05
## [32,] -2.121125e-02 -8.128477e-05 -4.891868e-05  8.589233e-10 -9.485052e-05
## [33,] -9.561003e-03 -3.657934e-05 -2.201413e-05  3.865278e-10 -4.268414e-05
## [34,] -8.072337e-03 -3.038102e-05 -1.828393e-05  3.210287e-10 -3.545150e-05
## [35,] -6.677523e-02 -6.780447e-05 -4.080617e-05  7.164712e-10 -7.912085e-05
## [36,] -7.152136e-02 -7.196652e-05 -4.331127e-05  7.604383e-10 -8.397814e-05
## [37,] -9.199131e-02 -9.324121e-05 -5.611462e-05  9.852511e-10 -1.088031e-04
## [38,]  3.348878e-02 -3.574177e-05 -2.150999e-05  3.776806e-10 -4.170663e-05
## [39,]  2.186573e-02 -2.333830e-05 -1.404538e-05  2.466140e-10 -2.723317e-05
## [40,]  1.156224e-02 -1.233217e-05 -7.421700e-06  1.303132e-10 -1.439025e-05
## [41,]  2.632930e-02 -2.698605e-05 -1.624067e-05  2.851590e-10 -3.148972e-05
## [42,]  2.343073e-02 -2.399009e-05 -1.443764e-05  2.535015e-10 -2.799374e-05
## [43,]  2.460212e-03 -2.536211e-06 -1.526342e-06  2.679963e-11 -2.959489e-06
##                [,6]          [,7]          [,8]          [,9]         [,10]
##  [1,] -4.563365e-04  7.339360e-03 -6.377538e-02 -1.593385e-02 -3.460046e-07
##  [2,]  1.349659e-06 -2.925386e-05 -7.545265e-05 -1.874508e-05 -4.042094e-10
##  [3,]  8.121957e-07 -1.760548e-05 -4.540898e-05 -1.128122e-05 -2.432636e-10
##  [4,] -1.426394e-11  3.091225e-10  7.972888e-10  1.980728e-10  4.271095e-15
##  [5,] -1.532296e-01  6.732647e-03 -8.804542e-05 -2.187365e-05 -4.716745e-10
##  [6,]  7.076226e-01  2.695557e-02  6.313330e-06  1.568327e-06  3.381523e-11
##  [7,]  2.695557e-02  1.180776e+00 -1.368685e-04 -3.400305e-05 -7.332274e-10
##  [8,]  6.313330e-06 -1.368685e-04  9.439881e-01 -3.771378e-02  2.242289e-06
##  [9,]  1.568327e-06 -3.400305e-05 -3.771378e-02  1.052258e-01  4.447042e-07
## [10,]  3.381523e-11 -7.332274e-10  2.242289e-06  4.447042e-07  9.411188e-06
## [11,]  3.273186e-06 -7.096697e-05 -1.830455e-04 -4.547565e-05 -9.806333e-10
## [12,]  1.755236e-06 -3.805331e-05 -9.815053e-05 -2.438433e-05 -5.258194e-10
## [13,]  5.569581e-06 -1.207404e-04 -3.114227e-04 -7.736900e-05 -1.668364e-09
## [14,]  3.912676e-06 -8.482640e-05 -2.187919e-04 -5.435626e-05 -1.172129e-09
## [15,]  3.435620e-06 -7.447336e-05 -1.920859e-04 -4.772110e-05 -1.029039e-09
## [16,]  2.099993e-06 -4.552109e-05 -1.174106e-04 -2.916903e-05 -6.289896e-10
## [17,]  2.574178e-06 -5.580516e-05 -1.439371e-04 -3.575936e-05 -7.711059e-10
## [18,] -3.793212e-14  1.734408e-13  2.936844e-13  5.018942e-14  4.698935e-19
## [19,]  1.089157e-05 -2.361584e-04 -6.091284e-04 -1.513318e-04 -3.263320e-09
## [20,]  3.055979e-06 -6.624615e-05 -1.708664e-04 -4.244947e-05 -9.153661e-10
## [21,]  3.897412e-06 -8.450807e-05 -2.179738e-04 -5.415345e-05 -1.167767e-09
## [22,]  6.905959e-06 -1.497212e-04 -3.861746e-04 -9.594051e-05 -2.068845e-09
## [23,]  5.585293e-10 -1.211943e-08 -3.126203e-08 -7.767052e-09 -1.674973e-13
## [24,]  7.759115e-07 -1.682121e-05 -4.338668e-05 -1.077889e-05 -2.324336e-10
## [25,]  6.646652e-06 -1.441104e-04 -3.717054e-04 -9.234622e-05 -1.991349e-09
## [26,]  1.196018e-06 -2.592559e-05 -6.686868e-05 -1.661259e-05 -3.582272e-10
## [27,]  1.262133e-06 -2.735866e-05 -7.056494e-05 -1.753087e-05 -3.780286e-10
## [28,]  8.975515e-07 -1.945458e-05 -5.017802e-05 -1.246598e-05 -2.688103e-10
## [29,]  2.552095e-06 -5.532200e-05 -1.426898e-04 -3.544934e-05 -7.644165e-10
## [30,]  2.472534e-06 -5.359589e-05 -1.382374e-04 -3.434314e-05 -7.405614e-10
## [31,]  2.148784e-06 -4.657832e-05 -1.201373e-04 -2.984645e-05 -6.435968e-10
## [32,]  6.801905e-06 -1.474473e-04 -3.803053e-04 -9.448174e-05 -2.037371e-09
## [33,]  3.060936e-06 -6.635348e-05 -1.711432e-04 -4.251823e-05 -9.168487e-10
## [34,]  2.542080e-06 -5.511013e-05 -1.421446e-04 -3.531407e-05 -7.615045e-10
## [35,]  5.673289e-06 -1.229951e-04 -3.172398e-04 -7.881441e-05 -1.699539e-09
## [36,]  6.020631e-06 -1.305457e-04 -3.367198e-04 -8.365470e-05 -1.803933e-09
## [37,]  7.801384e-06 -1.691367e-04 -4.362535e-04 -1.083821e-04 -2.337136e-09
## [38,]  2.991085e-06 -6.483395e-05 -1.672226e-04 -4.154405e-05 -8.958367e-10
## [39,]  1.953086e-06 -4.233462e-05 -1.091914e-04 -2.712701e-05 -5.849545e-10
## [40,]  1.032040e-06 -2.236998e-05 -5.769760e-05 -1.433413e-05 -3.090943e-10
## [41,]  2.258314e-06 -4.895151e-05 -1.262582e-04 -3.136704e-05 -6.763853e-10
## [42,]  2.007633e-06 -4.351694e-05 -1.122409e-04 -2.788462e-05 -6.012911e-10
## [43,]  2.122215e-07 -4.600592e-06 -1.186618e-05 -2.948000e-06 -6.356981e-11
##               [,11]         [,12]         [,13]         [,14]         [,15]
##  [1,] -1.378498e-02 -7.311878e-03 -2.296313e-02 -2.250442e-02 -1.942423e-02
##  [2,] -3.912241e-05 -2.097794e-05 -6.656162e-05 -4.676290e-05 -4.105572e-05
##  [3,] -2.354477e-05 -1.262498e-05 -4.005811e-05 -2.814292e-05 -2.470807e-05
##  [4,]  4.133925e-10  2.216679e-10  7.033422e-10  4.941302e-10  4.338304e-10
##  [5,] -4.565199e-05 -2.447911e-05 -7.767039e-05 -5.456752e-05 -4.790752e-05
##  [6,]  3.273186e-06  1.755236e-06  5.569581e-06  3.912676e-06  3.435620e-06
##  [7,] -7.096697e-05 -3.805331e-05 -1.207404e-04 -8.482640e-05 -7.447336e-05
##  [8,] -1.830455e-04 -9.815053e-05 -3.114227e-04 -2.187919e-04 -1.920859e-04
##  [9,] -4.547565e-05 -2.438433e-05 -7.736900e-05 -5.435626e-05 -4.772110e-05
## [10,] -9.806333e-10 -5.258194e-10 -1.668364e-09 -1.172129e-09 -1.029039e-09
## [11,]  1.516038e+00  9.233836e-02 -5.104794e-02 -1.134458e-04 -9.959760e-05
## [12,]  9.233836e-02  9.942113e-01 -2.678182e-02 -6.083049e-05 -5.340532e-05
## [13,] -5.104794e-02 -2.678182e-02  1.036842e+00 -1.930094e-04 -1.694510e-04
## [14,] -1.134458e-04 -6.083049e-05 -1.930094e-04  7.410049e-01  3.497747e-01
## [15,] -9.959760e-05 -5.340532e-05 -1.694510e-04  3.497747e-01  9.073880e-01
## [16,] -6.087801e-05 -3.264345e-05 -1.035752e-04  4.437822e-02 -1.904490e-02
## [17,] -7.463258e-05 -4.001864e-05 -1.269756e-04 -8.920742e-05 -7.831882e-05
## [18,]  9.914679e-14  7.341366e-14  2.930709e-13  1.630762e-13  2.278809e-13
## [19,] -3.158416e-04 -1.693557e-04 -5.373469e-04 -3.775188e-04 -3.314336e-04
## [20,] -8.859533e-05 -4.750571e-05 -1.507318e-04 -1.058972e-04 -9.297196e-05
## [21,] -1.130226e-04 -6.060320e-05 -1.922870e-04 -1.350934e-04 -1.186018e-04
## [22,] -2.002354e-04 -1.073677e-04 -3.406676e-04 -2.393384e-04 -2.101239e-04
## [23,] -1.621054e-08 -8.691885e-09 -2.757755e-08 -1.937550e-08 -1.700908e-08
## [24,] -2.249639e-05 -1.206275e-05 -3.827400e-05 -2.688964e-05 -2.360746e-05
## [25,] -1.927339e-04 -1.033450e-04 -3.279029e-04 -2.303713e-04 -2.022498e-04
## [26,] -3.467175e-05 -1.859138e-05 -5.898906e-05 -4.144291e-05 -3.638477e-05
## [27,] -3.658828e-05 -1.961904e-05 -6.224976e-05 -4.373372e-05 -3.839599e-05
## [28,] -2.601745e-05 -1.395089e-05 -4.426524e-05 -3.109858e-05 -2.730313e-05
## [29,] -7.398551e-05 -3.967181e-05 -1.258756e-04 -8.843429e-05 -7.764063e-05
## [30,] -7.167677e-05 -3.843389e-05 -1.219479e-04 -8.567477e-05 -7.521811e-05
## [31,] -6.229183e-05 -3.340157e-05 -1.059807e-04 -7.445700e-05 -6.536945e-05
## [32,] -1.971907e-04 -1.057357e-04 -3.354909e-04 -2.357003e-04 -2.069322e-04
## [33,] -8.873884e-05 -4.758267e-05 -1.509760e-04 -1.060687e-04 -9.312258e-05
## [34,] -7.370323e-05 -3.952029e-05 -1.253943e-04 -8.809652e-05 -7.734341e-05
## [35,] -1.644919e-04 -8.820183e-05 -2.798562e-04 -1.966148e-04 -1.726155e-04
## [36,] -1.745941e-04 -9.361810e-05 -2.970396e-04 -2.086885e-04 -1.832128e-04
## [37,] -2.262021e-04 -1.212912e-04 -3.848450e-04 -2.703758e-04 -2.373724e-04
## [38,] -8.670559e-05 -4.649259e-05 -1.475177e-04 -1.036388e-04 -9.098990e-05
## [39,] -5.661615e-05 -3.035826e-05 -9.632463e-05 -6.767301e-05 -5.941366e-05
## [40,] -2.991641e-05 -1.604155e-05 -5.089873e-05 -3.575896e-05 -3.139469e-05
## [41,] -6.546541e-05 -3.510332e-05 -1.113803e-04 -7.825044e-05 -6.870003e-05
## [42,] -5.819732e-05 -3.120611e-05 -9.901479e-05 -6.956298e-05 -6.107297e-05
## [43,] -6.152704e-06 -3.299138e-06 -1.046788e-05 -7.354262e-06 -6.456621e-06
##               [,16]         [,17]         [,18]         [,19]         [,20]
##  [1,] -1.186922e-02 -4.261499e-02 -2.057346e-08 -1.816783e-01 -3.272124e-03
##  [2,] -2.509490e-05 -3.076420e-05  1.093241e-13 -1.301882e-04 -3.652018e-05
##  [3,] -1.510256e-05 -1.851452e-05  5.666710e-14 -7.835051e-05 -2.197853e-05
##  [4,]  2.651745e-10  3.250781e-10 -1.544273e-18  1.375644e-09  3.859026e-10
##  [5,] -2.928299e-05 -3.589859e-05  1.085715e-13 -1.519172e-04 -4.261510e-05
##  [6,]  2.099993e-06  2.574178e-06 -3.793212e-14  1.089157e-05  3.055979e-06
##  [7,] -4.552109e-05 -5.580516e-05  1.734408e-13 -2.361584e-04 -6.624615e-05
##  [8,] -1.174106e-04 -1.439371e-04  2.936844e-13 -6.091284e-04 -1.708664e-04
##  [9,] -2.916903e-05 -3.575936e-05  5.018942e-14 -1.513318e-04 -4.244947e-05
## [10,] -6.289896e-10 -7.711059e-10  4.698935e-19 -3.263320e-09 -9.153661e-10
## [11,] -6.087801e-05 -7.463258e-05  9.914679e-14 -3.158416e-04 -8.859533e-05
## [12,] -3.264345e-05 -4.001864e-05  7.341366e-14 -1.693557e-04 -4.750571e-05
## [13,] -1.035752e-04 -1.269756e-04  2.930709e-13 -5.373469e-04 -1.507318e-04
## [14,]  4.437822e-02 -8.920742e-05  1.630762e-13 -3.775188e-04 -1.058972e-04
## [15,] -1.904490e-02 -7.831882e-05  2.278809e-13 -3.314336e-04 -9.297196e-05
## [16,]  7.092601e-01 -4.787158e-05  1.402163e-13 -2.025853e-04 -5.682817e-05
## [17,] -4.787158e-05  4.304321e-01  5.824601e-07  9.925683e-02 -6.966698e-05
## [18,]  1.402163e-13  5.824601e-07  9.549332e-06 -1.068258e-07  1.849367e-13
## [19,] -2.025853e-04  9.925683e-02 -1.068258e-07  1.030309e+00 -2.948215e-04
## [20,] -5.682817e-05 -6.966698e-05  1.849367e-13 -2.948215e-04  2.650145e+00
## [21,] -7.249413e-05 -8.887368e-05  6.120770e-14 -3.761130e-04  5.407208e-01
## [22,] -1.284361e-04 -1.574539e-04  2.821489e-13 -6.663328e-04 -1.624493e-03
## [23,] -1.039661e-08 -1.274622e-08 -6.175338e-17 -5.394651e-08 -1.513040e-08
## [24,] -1.442982e-05 -1.768994e-05  3.609213e-14 -7.486219e-05 -2.099956e-05
## [25,] -1.236231e-04 -1.515543e-04  1.828081e-13 -6.413718e-04 -1.799079e-04
## [26,] -2.223982e-05 -2.726424e-05  8.166236e-14 -1.153781e-04 -3.236529e-05
## [27,] -2.346916e-05 -2.877131e-05  8.668529e-14 -1.217557e-04 -3.415433e-05
## [28,] -1.668876e-05 -2.045901e-05  7.150230e-14 -8.657870e-05 -2.428688e-05
## [29,] -4.745705e-05 -5.817863e-05  1.639136e-13 -2.462037e-04 -6.906359e-05
## [30,] -4.597631e-05 -5.636326e-05  1.705347e-13 -2.385205e-04 -6.690865e-05
## [31,] -3.995641e-05 -4.898337e-05  1.465860e-13 -2.072901e-04 -5.814799e-05
## [32,] -1.264852e-04 -1.550611e-04  4.225651e-13 -6.561974e-04 -1.840722e-04
## [33,] -5.692023e-05 -6.977983e-05  1.861906e-13 -2.952990e-04 -8.283527e-05
## [34,] -4.727537e-05 -5.795624e-05  1.212574e-13 -2.452653e-04 -6.879935e-05
## [35,] -1.055095e-04 -1.293473e-04  2.463014e-13 -5.473870e-04 -1.535469e-04
## [36,] -1.119869e-04 -1.372895e-04  9.781418e-14 -5.810084e-04 -1.629741e-04
## [37,] -1.450914e-04 -1.778724e-04  2.968792e-13 -7.527438e-04 -2.111503e-04
## [38,] -5.561666e-05 -6.818141e-05  2.247839e-13 -2.885319e-04 -8.093804e-05
## [39,] -3.631600e-05 -4.452041e-05  1.464117e-13 -1.884027e-04 -5.285010e-05
## [40,] -1.918969e-05 -2.352495e-05  7.944878e-14 -9.955339e-05 -2.792644e-05
## [41,] -4.199220e-05 -5.147901e-05  1.625422e-13 -2.178507e-04 -6.111061e-05
## [42,] -3.733024e-05 -4.576378e-05  1.507249e-13 -1.936644e-04 -5.432610e-05
## [43,] -3.946544e-06 -4.838170e-06  1.164488e-14 -2.047457e-05 -5.743358e-06
##               [,21]         [,22]         [,23]         [,24]         [,25]
##  [1,] -4.862908e-03 -7.930694e-03 -8.536664e-06 -1.136703e-02 -9.788311e-02
##  [2,] -4.658714e-05 -8.253792e-05 -6.680947e-09 -9.273169e-06 -7.944462e-05
##  [3,] -2.803732e-05 -4.967311e-05 -4.020887e-09 -5.580786e-06 -4.781165e-05
##  [4,]  4.922655e-10  8.721542e-10  7.058932e-14  9.798721e-11  8.394615e-10
##  [5,] -5.436280e-05 -9.631334e-05 -7.796292e-09 -1.082083e-05 -9.270409e-05
##  [6,]  3.897412e-06  6.905959e-06  5.585293e-10  7.759115e-07  6.646652e-06
##  [7,] -8.450807e-05 -1.497212e-04 -1.211943e-08 -1.682121e-05 -1.441104e-04
##  [8,] -2.179738e-04 -3.861746e-04 -3.126203e-08 -4.338668e-05 -3.717054e-04
##  [9,] -5.415345e-05 -9.594051e-05 -7.767052e-09 -1.077889e-05 -9.234622e-05
## [10,] -1.167767e-09 -2.068845e-09 -1.674973e-13 -2.324336e-10 -1.991349e-09
## [11,] -1.130226e-04 -2.002354e-04 -1.621054e-08 -2.249639e-05 -1.927339e-04
## [12,] -6.060320e-05 -1.073677e-04 -8.691885e-09 -1.206275e-05 -1.033450e-04
## [13,] -1.922870e-04 -3.406676e-04 -2.757755e-08 -3.827400e-05 -3.279029e-04
## [14,] -1.350934e-04 -2.393384e-04 -1.937550e-08 -2.688964e-05 -2.303713e-04
## [15,] -1.186018e-04 -2.101239e-04 -1.700908e-08 -2.360746e-05 -2.022498e-04
## [16,] -7.249413e-05 -1.284361e-04 -1.039661e-08 -1.442982e-05 -1.236231e-04
## [17,] -8.887368e-05 -1.574539e-04 -1.274622e-08 -1.768994e-05 -1.515543e-04
## [18,]  6.120770e-14  2.821489e-13 -6.175338e-17  3.609213e-14  1.828081e-13
## [19,] -3.761130e-04 -6.663328e-04 -5.394651e-08 -7.486219e-05 -6.413718e-04
## [20,]  5.407208e-01 -1.624493e-03 -1.513040e-08 -2.099956e-05 -1.799079e-04
## [21,]  1.824910e+00 -8.464706e-02 -1.930475e-08 -2.678909e-05 -2.295123e-04
## [22,] -8.464706e-02  1.087604e+00 -3.419845e-08 -4.746105e-05 -4.066126e-04
## [23,] -1.930475e-08 -3.419845e-08  9.925779e-06  2.899239e-06  5.315898e-06
## [24,] -2.678909e-05 -4.746105e-05  2.899239e-06  3.153396e-02  2.514935e-03
## [25,] -2.295123e-04 -4.066126e-04  5.315898e-06  2.514935e-03  8.838017e-01
## [26,] -4.128745e-05 -7.314801e-05 -5.921137e-09 -8.218195e-06 -7.040687e-05
## [27,] -4.356965e-05 -7.719136e-05 -6.248427e-09 -8.672467e-06 -7.429869e-05
## [28,] -3.098172e-05 -5.488992e-05 -4.443028e-09 -6.166904e-06 -5.283281e-05
## [29,] -8.810274e-05 -1.560892e-04 -1.263518e-08 -1.753665e-05 -1.502401e-04
## [30,] -8.535334e-05 -1.512186e-04 -1.224071e-08 -1.698944e-05 -1.455518e-04
## [31,] -7.417769e-05 -1.314189e-04 -1.063801e-08 -1.476494e-05 -1.264941e-04
## [32,] -2.348170e-04 -4.160183e-04 -3.367626e-08 -4.673972e-05 -4.004292e-04
## [33,] -1.056713e-04 -1.872146e-04 -1.515489e-08 -2.103358e-05 -1.801993e-04
## [34,] -8.776706e-05 -1.554931e-04 -1.258760e-08 -1.746964e-05 -1.496671e-04
## [35,] -1.958800e-04 -3.470313e-04 -2.809355e-08 -3.898893e-05 -3.340291e-04
## [36,] -2.079117e-04 -3.683419e-04 -2.982138e-08 -4.138303e-05 -3.545440e-04
## [37,] -2.693661e-04 -4.772218e-04 -3.863366e-08 -5.361578e-05 -4.593425e-04
## [38,] -1.032496e-04 -1.829256e-04 -1.480701e-08 -2.055175e-05 -1.760703e-04
## [39,] -6.741889e-05 -1.194449e-04 -9.668536e-09 -1.341967e-05 -1.149686e-04
## [40,] -3.562464e-05 -6.311565e-05 -5.108898e-09 -7.091065e-06 -6.075031e-05
## [41,] -7.795673e-05 -1.381144e-04 -1.117986e-08 -1.551719e-05 -1.329386e-04
## [42,] -6.930176e-05 -1.227808e-04 -9.938556e-09 -1.379446e-05 -1.181795e-04
## [43,] -7.326729e-06 -1.298050e-05 -1.050783e-09 -1.458360e-06 -1.249412e-05
##               [,26]         [,27]         [,28]         [,29]         [,30]
##  [1,]  1.691446e-02  1.785143e-02  1.273284e-02  1.891458e-02  1.837059e-02
##  [2,] -1.429228e-05 -1.508231e-05 -1.072497e-05 -3.049793e-05 -2.954639e-05
##  [3,] -8.601347e-06 -9.076799e-06 -6.454457e-06 -1.835421e-05 -1.778154e-05
##  [4,]  1.510248e-10  1.593730e-10  1.133302e-10  3.222673e-10  3.122133e-10
##  [5,] -1.667751e-05 -1.759939e-05 -1.251482e-05 -3.558776e-05 -3.447737e-05
##  [6,]  1.196018e-06  1.262133e-06  8.975515e-07  2.552095e-06  2.472534e-06
##  [7,] -2.592559e-05 -2.735866e-05 -1.945458e-05 -5.532200e-05 -5.359589e-05
##  [8,] -6.686868e-05 -7.056494e-05 -5.017802e-05 -1.426898e-04 -1.382374e-04
##  [9,] -1.661259e-05 -1.753087e-05 -1.246598e-05 -3.544934e-05 -3.434314e-05
## [10,] -3.582272e-10 -3.780286e-10 -2.688103e-10 -7.644165e-10 -7.405614e-10
## [11,] -3.467175e-05 -3.658828e-05 -2.601745e-05 -7.398551e-05 -7.167677e-05
## [12,] -1.859138e-05 -1.961904e-05 -1.395089e-05 -3.967181e-05 -3.843389e-05
## [13,] -5.898906e-05 -6.224976e-05 -4.426524e-05 -1.258756e-04 -1.219479e-04
## [14,] -4.144291e-05 -4.373372e-05 -3.109858e-05 -8.843429e-05 -8.567477e-05
## [15,] -3.638477e-05 -3.839599e-05 -2.730313e-05 -7.764063e-05 -7.521811e-05
## [16,] -2.223982e-05 -2.346916e-05 -1.668876e-05 -4.745705e-05 -4.597631e-05
## [17,] -2.726424e-05 -2.877131e-05 -2.045901e-05 -5.817863e-05 -5.636326e-05
## [18,]  8.166236e-14  8.668529e-14  7.150230e-14  1.639136e-13  1.705347e-13
## [19,] -1.153781e-04 -1.217557e-04 -8.657870e-05 -2.462037e-04 -2.385205e-04
## [20,] -3.236529e-05 -3.415433e-05 -2.428688e-05 -6.906359e-05 -6.690865e-05
## [21,] -4.128745e-05 -4.356965e-05 -3.098172e-05 -8.810274e-05 -8.535334e-05
## [22,] -7.314801e-05 -7.719136e-05 -5.488992e-05 -1.560892e-04 -1.512186e-04
## [23,] -5.921137e-09 -6.248427e-09 -4.443028e-09 -1.263518e-08 -1.224071e-08
## [24,] -8.218195e-06 -8.672467e-06 -6.166904e-06 -1.753665e-05 -1.698944e-05
## [25,] -7.040687e-05 -7.429869e-05 -5.283281e-05 -1.502401e-04 -1.455518e-04
## [26,]  2.201467e+00  3.166207e-01 -1.838268e-02 -2.702817e-05 -2.618485e-05
## [27,]  3.166207e-01  7.528148e-01 -1.069143e-01 -2.852219e-05 -2.763225e-05
## [28,] -1.838268e-02 -1.069143e-01  1.398266e+00 -2.028193e-05 -1.964912e-05
## [29,] -2.702817e-05 -2.852219e-05 -2.028193e-05  2.805250e+00  6.343633e-01
## [30,] -2.618485e-05 -2.763225e-05 -1.964912e-05  6.343633e-01  2.663461e+00
## [31,] -2.275634e-05 -2.401423e-05 -1.707637e-05  6.222176e-03  6.532572e-02
## [32,] -7.203700e-05 -7.601895e-05 -5.405651e-05 -1.537182e-04 -1.489218e-04
## [33,] -3.241772e-05 -3.420966e-05 -2.432623e-05 -6.917547e-05 -6.701704e-05
## [34,] -2.692468e-05 -2.841298e-05 -2.020419e-05 -5.745406e-05 -5.566129e-05
## [35,] -6.009066e-05 -6.341225e-05 -4.509178e-05 -1.282264e-04 -1.242252e-04
## [36,] -6.377969e-05 -6.730518e-05 -4.785969e-05 -1.360986e-04 -1.318515e-04
## [37,] -8.263370e-05 -8.720138e-05 -6.200790e-05 -1.763306e-04 -1.708283e-04
## [38,] -3.167532e-05 -3.342622e-05 -2.376921e-05 -6.759119e-05 -6.548229e-05
## [39,] -2.068303e-05 -2.182631e-05 -1.552058e-05 -4.413501e-05 -4.275796e-05
## [40,] -1.092909e-05 -1.153321e-05 -8.201211e-06 -2.332132e-05 -2.259368e-05
## [41,] -2.391578e-05 -2.523777e-05 -1.794643e-05 -5.103333e-05 -4.944103e-05
## [42,] -2.126066e-05 -2.243588e-05 -1.595404e-05 -4.536761e-05 -4.395211e-05
## [43,] -2.247671e-06 -2.371914e-06 -1.686647e-06 -4.796258e-06 -4.646601e-06
##               [,31]         [,32]         [,33]         [,34]         [,35]
##  [1,]  1.595887e-02 -2.121125e-02 -9.561003e-03 -8.072337e-03 -6.677523e-02
##  [2,] -2.567774e-05 -8.128477e-05 -3.657934e-05 -3.038102e-05 -6.780447e-05
##  [3,] -1.545332e-05 -4.891868e-05 -2.201413e-05 -1.828393e-05 -4.080617e-05
##  [4,]  2.713336e-10  8.589233e-10  3.865278e-10  3.210287e-10  7.164712e-10
##  [5,] -2.996309e-05 -9.485052e-05 -4.268414e-05 -3.545150e-05 -7.912085e-05
##  [6,]  2.148784e-06  6.801905e-06  3.060936e-06  2.542080e-06  5.673289e-06
##  [7,] -4.657832e-05 -1.474473e-04 -6.635348e-05 -5.511013e-05 -1.229951e-04
##  [8,] -1.201373e-04 -3.803053e-04 -1.711432e-04 -1.421446e-04 -3.172398e-04
##  [9,] -2.984645e-05 -9.448174e-05 -4.251823e-05 -3.531407e-05 -7.881441e-05
## [10,] -6.435968e-10 -2.037371e-09 -9.168487e-10 -7.615045e-10 -1.699539e-09
## [11,] -6.229183e-05 -1.971907e-04 -8.873884e-05 -7.370323e-05 -1.644919e-04
## [12,] -3.340157e-05 -1.057357e-04 -4.758267e-05 -3.952029e-05 -8.820183e-05
## [13,] -1.059807e-04 -3.354909e-04 -1.509760e-04 -1.253943e-04 -2.798562e-04
## [14,] -7.445700e-05 -2.357003e-04 -1.060687e-04 -8.809652e-05 -1.966148e-04
## [15,] -6.536945e-05 -2.069322e-04 -9.312258e-05 -7.734341e-05 -1.726155e-04
## [16,] -3.995641e-05 -1.264852e-04 -5.692023e-05 -4.727537e-05 -1.055095e-04
## [17,] -4.898337e-05 -1.550611e-04 -6.977983e-05 -5.795624e-05 -1.293473e-04
## [18,]  1.465860e-13  4.225651e-13  1.861906e-13  1.212574e-13  2.463014e-13
## [19,] -2.072901e-04 -6.561974e-04 -2.952990e-04 -2.452653e-04 -5.473870e-04
## [20,] -5.814799e-05 -1.840722e-04 -8.283527e-05 -6.879935e-05 -1.535469e-04
## [21,] -7.417769e-05 -2.348170e-04 -1.056713e-04 -8.776706e-05 -1.958800e-04
## [22,] -1.314189e-04 -4.160183e-04 -1.872146e-04 -1.554931e-04 -3.470313e-04
## [23,] -1.063801e-08 -3.367626e-08 -1.515489e-08 -1.258760e-08 -2.809355e-08
## [24,] -1.476494e-05 -4.673972e-05 -2.103358e-05 -1.746964e-05 -3.898893e-05
## [25,] -1.264941e-04 -4.004292e-04 -1.801993e-04 -1.496671e-04 -3.340291e-04
## [26,] -2.275634e-05 -7.203700e-05 -3.241772e-05 -2.692468e-05 -6.009066e-05
## [27,] -2.401423e-05 -7.601895e-05 -3.420966e-05 -2.841298e-05 -6.341225e-05
## [28,] -1.707637e-05 -5.405651e-05 -2.432623e-05 -2.020419e-05 -4.509178e-05
## [29,]  6.222176e-03 -1.537182e-04 -6.917547e-05 -5.745406e-05 -1.282264e-04
## [30,]  6.532572e-02 -1.489218e-04 -6.701704e-05 -5.566129e-05 -1.242252e-04
## [31,]  5.175365e-01 -1.294228e-04 -5.824219e-05 -4.837331e-05 -1.079598e-04
## [32,] -1.294228e-04  2.059128e+00  2.798096e-01 -9.631768e-02 -3.417565e-04
## [33,] -5.824219e-05  2.798096e-01  9.393618e-01  3.858446e-02 -1.537956e-04
## [34,] -4.837331e-05 -9.631768e-02  3.858446e-02  5.002049e-01 -1.277365e-04
## [35,] -1.079598e-04 -3.417565e-04 -1.537956e-04 -1.277365e-04  1.212125e+00
## [36,] -1.145876e-04 -3.627386e-04 -1.632380e-04 -1.355801e-04  1.458998e-01
## [37,] -1.484610e-04 -4.699670e-04 -2.114923e-04 -1.756574e-04  9.325392e-02
## [38,] -5.690837e-05 -1.801478e-04 -8.106917e-05 -6.733222e-05 -1.502724e-04
## [39,] -3.715945e-05 -1.176311e-04 -5.293573e-05 -4.396592e-05 -9.812333e-05
## [40,] -1.963538e-05 -6.215727e-05 -2.797169e-05 -2.323195e-05 -5.184916e-05
## [41,] -4.296748e-05 -1.360169e-04 -6.120961e-05 -5.083786e-05 -1.134602e-04
## [42,] -3.819724e-05 -1.209163e-04 -5.441412e-05 -4.519380e-05 -1.008637e-04
## [43,] -4.038201e-06 -1.278327e-05 -5.752662e-06 -4.777917e-06 -1.066340e-05
##               [,36]         [,37]         [,38]         [,39]         [,40]
##  [1,] -7.152136e-02 -9.199131e-02  3.348878e-02  2.186573e-02  1.156224e-02
##  [2,] -7.196652e-05 -9.324121e-05 -3.574177e-05 -2.333830e-05 -1.233217e-05
##  [3,] -4.331127e-05 -5.611462e-05 -2.150999e-05 -1.404538e-05 -7.421700e-06
##  [4,]  7.604383e-10  9.852511e-10  3.776806e-10  2.466140e-10  1.303132e-10
##  [5,] -8.397814e-05 -1.088031e-04 -4.170663e-05 -2.723317e-05 -1.439025e-05
##  [6,]  6.020631e-06  7.801384e-06  2.991085e-06  1.953086e-06  1.032040e-06
##  [7,] -1.305457e-04 -1.691367e-04 -6.483395e-05 -4.233462e-05 -2.236998e-05
##  [8,] -3.367198e-04 -4.362535e-04 -1.672226e-04 -1.091914e-04 -5.769760e-05
##  [9,] -8.365470e-05 -1.083821e-04 -4.154405e-05 -2.712701e-05 -1.433413e-05
## [10,] -1.803933e-09 -2.337136e-09 -8.958367e-10 -5.849545e-10 -3.090943e-10
## [11,] -1.745941e-04 -2.262021e-04 -8.670559e-05 -5.661615e-05 -2.991641e-05
## [12,] -9.361810e-05 -1.212912e-04 -4.649259e-05 -3.035826e-05 -1.604155e-05
## [13,] -2.970396e-04 -3.848450e-04 -1.475177e-04 -9.632463e-05 -5.089873e-05
## [14,] -2.086885e-04 -2.703758e-04 -1.036388e-04 -6.767301e-05 -3.575896e-05
## [15,] -1.832128e-04 -2.373724e-04 -9.098990e-05 -5.941366e-05 -3.139469e-05
## [16,] -1.119869e-04 -1.450914e-04 -5.561666e-05 -3.631600e-05 -1.918969e-05
## [17,] -1.372895e-04 -1.778724e-04 -6.818141e-05 -4.452041e-05 -2.352495e-05
## [18,]  9.781418e-14  2.968792e-13  2.247839e-13  1.464117e-13  7.944878e-14
## [19,] -5.810084e-04 -7.527438e-04 -2.885319e-04 -1.884027e-04 -9.955339e-05
## [20,] -1.629741e-04 -2.111503e-04 -8.093804e-05 -5.285010e-05 -2.792644e-05
## [21,] -2.079117e-04 -2.693661e-04 -1.032496e-04 -6.741889e-05 -3.562464e-05
## [22,] -3.683419e-04 -4.772218e-04 -1.829256e-04 -1.194449e-04 -6.311565e-05
## [23,] -2.982138e-08 -3.863366e-08 -1.480701e-08 -9.668536e-09 -5.108898e-09
## [24,] -4.138303e-05 -5.361578e-05 -2.055175e-05 -1.341967e-05 -7.091065e-06
## [25,] -3.545440e-04 -4.593425e-04 -1.760703e-04 -1.149686e-04 -6.075031e-05
## [26,] -6.377969e-05 -8.263370e-05 -3.167532e-05 -2.068303e-05 -1.092909e-05
## [27,] -6.730518e-05 -8.720138e-05 -3.342622e-05 -2.182631e-05 -1.153321e-05
## [28,] -4.785969e-05 -6.200790e-05 -2.376921e-05 -1.552058e-05 -8.201211e-06
## [29,] -1.360986e-04 -1.763306e-04 -6.759119e-05 -4.413501e-05 -2.332132e-05
## [30,] -1.318515e-04 -1.708283e-04 -6.548229e-05 -4.275796e-05 -2.259368e-05
## [31,] -1.145876e-04 -1.484610e-04 -5.690837e-05 -3.715945e-05 -1.963538e-05
## [32,] -3.627386e-04 -4.699670e-04 -1.801478e-04 -1.176311e-04 -6.215727e-05
## [33,] -1.632380e-04 -2.114923e-04 -8.106917e-05 -5.293573e-05 -2.797169e-05
## [34,] -1.355801e-04 -1.756574e-04 -6.733222e-05 -4.396592e-05 -2.323195e-05
## [35,]  1.458998e-01  9.325392e-02 -1.502724e-04 -9.812333e-05 -5.184916e-05
## [36,]  3.368322e-01 -2.062817e-01 -1.594971e-04 -1.041468e-04 -5.503196e-05
## [37,] -2.062817e-01  1.035197e+00 -2.066469e-04 -1.349342e-04 -7.130033e-05
## [38,] -1.594971e-04 -2.066469e-04  4.628679e+00  9.353308e-01 -1.893240e-02
## [39,] -1.041468e-04 -1.349342e-04  9.353308e-01  2.457433e+00  8.321505e-03
## [40,] -5.503196e-05 -7.130033e-05 -1.893240e-02  8.321505e-03  1.058677e+00
## [41,] -1.204254e-04 -1.560248e-04 -5.980791e-05 -3.905276e-05 -2.063582e-05
## [42,] -1.070554e-04 -1.387027e-04 -5.316808e-05 -3.471715e-05 -1.834485e-05
## [43,] -1.131812e-05 -1.466380e-05 -5.620896e-06 -3.670276e-06 -1.939404e-06
##               [,41]         [,42]         [,43]
##  [1,]  2.632930e-02  2.343073e-02  2.460212e-03
##  [2,] -2.698605e-05 -2.399009e-05 -2.536211e-06
##  [3,] -1.624067e-05 -1.443764e-05 -1.526342e-06
##  [4,]  2.851590e-10  2.535015e-10  2.679963e-11
##  [5,] -3.148972e-05 -2.799374e-05 -2.959489e-06
##  [6,]  2.258314e-06  2.007633e-06  2.122215e-07
##  [7,] -4.895151e-05 -4.351694e-05 -4.600592e-06
##  [8,] -1.262582e-04 -1.122409e-04 -1.186618e-05
##  [9,] -3.136704e-05 -2.788462e-05 -2.948000e-06
## [10,] -6.763853e-10 -6.012911e-10 -6.356981e-11
## [11,] -6.546541e-05 -5.819732e-05 -6.152704e-06
## [12,] -3.510332e-05 -3.120611e-05 -3.299138e-06
## [13,] -1.113803e-04 -9.901479e-05 -1.046788e-05
## [14,] -7.825044e-05 -6.956298e-05 -7.354262e-06
## [15,] -6.870003e-05 -6.107297e-05 -6.456621e-06
## [16,] -4.199220e-05 -3.733024e-05 -3.946544e-06
## [17,] -5.147901e-05 -4.576378e-05 -4.838170e-06
## [18,]  1.625422e-13  1.507249e-13  1.164488e-14
## [19,] -2.178507e-04 -1.936644e-04 -2.047457e-05
## [20,] -6.111061e-05 -5.432610e-05 -5.743358e-06
## [21,] -7.795673e-05 -6.930176e-05 -7.326729e-06
## [22,] -1.381144e-04 -1.227808e-04 -1.298050e-05
## [23,] -1.117986e-08 -9.938556e-09 -1.050783e-09
## [24,] -1.551719e-05 -1.379446e-05 -1.458360e-06
## [25,] -1.329386e-04 -1.181795e-04 -1.249412e-05
## [26,] -2.391578e-05 -2.126066e-05 -2.247671e-06
## [27,] -2.523777e-05 -2.243588e-05 -2.371914e-06
## [28,] -1.794643e-05 -1.595404e-05 -1.686647e-06
## [29,] -5.103333e-05 -4.536761e-05 -4.796258e-06
## [30,] -4.944103e-05 -4.395211e-05 -4.646601e-06
## [31,] -4.296748e-05 -3.819724e-05 -4.038201e-06
## [32,] -1.360169e-04 -1.209163e-04 -1.278327e-05
## [33,] -6.120961e-05 -5.441412e-05 -5.752662e-06
## [34,] -5.083786e-05 -4.519380e-05 -4.777917e-06
## [35,] -1.134602e-04 -1.008637e-04 -1.066340e-05
## [36,] -1.204254e-04 -1.070554e-04 -1.131812e-05
## [37,] -1.560248e-04 -1.387027e-04 -1.466380e-05
## [38,] -5.980791e-05 -5.316808e-05 -5.620896e-06
## [39,] -3.905276e-05 -3.471715e-05 -3.670276e-06
## [40,] -2.063582e-05 -1.834485e-05 -1.939404e-06
## [41,]  3.958540e+00  4.646732e-01  8.670378e-02
## [42,]  4.646732e-01  3.176664e+00 -1.430308e-01
## [43,]  8.670378e-02 -1.430308e-01  5.222094e-01
## 
## Model rank =  897 / 897 
## 
## Basis dimension (k) checking results. Low p-value (k-index<1) may
## indicate that k is too low, especially if edf is close to k'.
## 
##                                 k'   edf k-index p-value    
## s(bb.sp)                     14.00 12.73      NA      NA    
## te(yday,elev.mean):bb.spbss  63.00 22.82    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sphort 63.00 13.01    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sphypn 63.00  4.59    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spjone 63.00 10.78    0.79  <2e-16 ***
## te(yday,elev.mean):bb.splapi 63.00 13.33    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spmend 63.00  3.88    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spmont 63.00 17.80    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spmuci 63.00  2.39    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sppasc 63.00 15.28    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spprat 63.00 22.62    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sppsit 63.00 11.94    0.79  <2e-16 ***
## te(yday,elev.mean):bb.sppyre 63.00  9.09    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spsoro 63.00 30.93    0.79  <2e-16 ***
## te(yday,elev.mean):bb.spwurf 63.00 24.14    0.79  <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

bb_abund.2011.sum <- summary(bb_abund.2011)
print(plot(bb_abund.2011, allTerms = TRUE), pages = 1)

bb_abund.2011.ck <- check2D(bb_abund.2011, x1 = "yday", x2 = "elev.mean") # See if there is any spatiotemporal pattern to the residuals

### 2012
bb_abund.2012 <- bam(bb.abund ~ 
                       s(bb.sp, bs = "re") + 
                       te(yday, elev.mean, 
                          by = bb.sp,
                          bs= c("gp", "cr"), 
                          k=c(8, 8), 
                          m=2),
                     data = filter(bb_abund_sp, year == 2012 & bb.total.abund >= 5),
                     discrete = TRUE,
                     family = "tw",
                     select = TRUE,
                     method = "fREML") %>% getViz(nsim = 500)


check.gamViz(bb_abund.2012)

## 
## Method: fREML   Optimizer: perf chol
## $grad
##  [1]  1.361954e-06 -1.373878e-07 -2.048472e-07  4.766672e-08 -1.956592e-05
##  [6]  3.252368e-08  2.001501e-07  2.053307e-07  1.893044e-07  1.082347e-08
## [11]  3.383877e-05  2.301466e-05  1.290894e-05  2.794515e-07  1.473649e-07
## [16]  1.454717e-07  2.248491e-06  1.669451e-06  7.108046e-07  3.806337e-07
## [21]  1.209942e-07  1.163446e-07  1.173547e-05  5.834812e-06 -6.877006e-06
## [26]  5.503133e-08  1.657291e-08  7.580689e-08  7.984470e-08  1.411479e-07
## [31]  2.419168e-08  1.111951e-07  4.842851e-08  9.137303e-08  1.229538e-06
## [36]  7.053672e-07  6.635295e-07  1.599344e-07  1.585568e-07  2.266049e-08
## [41]  6.605031e-08  1.070396e-07  1.935527e-08
## 
## $hess
##                [,1]          [,2]          [,3]          [,4]          [,5]
##  [1,]  5.944571e+00  5.180338e-02  9.882875e-03 -4.121063e-03  9.089015e-07
##  [2,]  5.180338e-02  2.288247e+00  6.381342e-01  1.602466e-01  5.245895e-09
##  [3,]  9.882875e-03  6.381342e-01  4.303779e+00  6.852526e-03  1.028234e-09
##  [4,] -4.121063e-03  1.602466e-01  6.852526e-03  9.270390e-01 -2.781628e-10
##  [5,]  9.089015e-07  5.245895e-09  1.028234e-09 -2.781628e-10  1.952560e-05
##  [6,] -4.324929e-02 -1.901425e-04 -3.730604e-05  9.896059e-06 -2.362229e-06
##  [7,] -1.626206e-01 -7.202354e-04 -1.413062e-04  3.750673e-05  5.476501e-06
##  [8,] -6.115574e-04  6.517909e-07  1.259019e-07 -4.396316e-08 -8.762019e-12
##  [9,]  1.988312e-02 -2.141656e-04 -4.201712e-05  1.115779e-05  2.249795e-09
## [10,]  1.425687e-02 -1.566737e-04 -3.073882e-05  8.157282e-06  1.644843e-09
## [11,] -9.829790e-02 -6.401103e-04 -1.255903e-04  3.331290e-05  6.717401e-09
## [12,] -1.158368e-01 -7.560858e-04 -1.483438e-04  3.935346e-05  7.935402e-09
## [13,] -2.924591e-06 -1.840276e-08 -3.610992e-09  9.559382e-10  1.927791e-13
## [14,] -1.635164e-02 -1.939919e-04 -3.805927e-05  1.010663e-05  2.037848e-09
## [15,] -3.829573e-03 -4.418620e-05 -8.669268e-06  2.300111e-06  4.638017e-10
## [16,] -3.127519e-02 -3.585914e-04 -7.035582e-05  1.866289e-05  3.763281e-09
## [17,] -1.528726e-01 -8.503669e-04 -1.668407e-04  4.426597e-05  8.925929e-09
## [18,] -1.152589e-02 -5.829297e-05 -1.144071e-05  3.015595e-06  6.082674e-10
## [19,] -6.885182e-02 -3.420029e-04 -6.712664e-05  1.767024e-05  3.564444e-09
## [20,] -9.167620e-03 -1.098819e-04 -2.156298e-05  5.698033e-06  1.149194e-09
## [21,] -3.163891e-03 -3.910836e-05 -7.674184e-06  2.029800e-06  4.093566e-10
## [22,] -1.424117e-02 -2.004115e-04 -3.931944e-05  1.043757e-05  2.104612e-09
## [23,] -1.480430e-01 -7.593595e-04 -1.489830e-04  3.953978e-05  7.972810e-09
## [24,] -3.824086e-02 -1.929420e-04 -3.785660e-05  1.003513e-05  2.023602e-09
## [25,]  8.556952e-07  5.737611e-09  1.124754e-09 -3.035247e-10 -6.115393e-14
## [26,] -3.733497e-02  2.065827e-04  4.052431e-05 -1.078874e-05 -2.175116e-09
## [27,]  2.276748e-02 -1.315673e-04 -2.581251e-05  6.852765e-06  1.381772e-09
## [28,]  7.499730e-02 -4.310146e-04 -8.456037e-05  2.245712e-05  4.528113e-09
## [29,] -1.613454e-02  9.006392e-05  1.766603e-05 -4.710469e-06 -9.496065e-10
## [30,]  3.204303e-02 -1.902140e-04 -3.731773e-05  9.911603e-06  1.998504e-09
## [31,]  1.468618e-02 -9.198231e-05 -1.804873e-05  4.778317e-06  9.636156e-10
## [32,]  2.961513e-02 -3.165467e-04 -6.210514e-05  1.648219e-05  3.323476e-09
## [33,]  2.117168e-02 -2.232155e-04 -4.379291e-05  1.162778e-05  2.344577e-09
## [34,] -6.465028e-03  5.568592e-05  1.092085e-05 -2.922271e-06 -5.890146e-10
## [35,] -5.151206e-02 -2.447322e-04 -4.803411e-05  1.264818e-05  2.551356e-09
## [36,] -4.216952e-02 -2.203700e-04 -4.323754e-05  1.146487e-05  2.311880e-09
## [37,] -1.641749e-01 -8.484695e-04 -1.664798e-04  4.410950e-05  8.894969e-09
## [38,] -1.079299e-02  7.072273e-05  1.387311e-05 -3.694600e-06 -7.448562e-10
## [39,]  1.879519e-02 -1.292327e-04 -2.535386e-05  6.734379e-06  1.357868e-09
## [40,]  1.320884e-02 -9.517681e-05 -1.867478e-05  4.948216e-06  9.978376e-10
## [41,]  3.778527e-03 -1.942469e-05 -3.811799e-06  1.007582e-06  2.032086e-10
## [42,]  1.895859e-02 -9.115696e-05 -1.788378e-05  4.750658e-06  9.578814e-10
## [43,]  1.661573e-02 -8.118538e-05 -1.592845e-05  4.226111e-06  8.521662e-10
##                [,6]          [,7]          [,8]          [,9]         [,10]
##  [1,] -4.324929e-02 -1.626206e-01 -6.115574e-04  1.988312e-02  1.425687e-02
##  [2,] -1.901425e-04 -7.202354e-04  6.517909e-07 -2.141656e-04 -1.566737e-04
##  [3,] -3.730604e-05 -1.413062e-04  1.259019e-07 -4.201712e-05 -3.073882e-05
##  [4,]  9.896059e-06  3.750673e-05 -4.396316e-08  1.115779e-05  8.157282e-06
##  [5,] -2.362229e-06  5.476501e-06 -8.762019e-12  2.249795e-09  1.644843e-09
##  [6,]  6.797758e-01  5.654890e-02  2.453252e-07 -8.152172e-05 -5.963898e-05
##  [7,]  5.654890e-02  1.178243e+00  9.376902e-07 -3.087967e-04 -2.259025e-04
##  [8,]  2.453252e-07  9.376902e-07  2.731897e+00  1.113315e+00  2.412318e-02
##  [9,] -8.152172e-05 -3.087967e-04  1.113315e+00  2.746074e+00  2.932864e-01
## [10,] -5.963898e-05 -2.259025e-04  2.412318e-02  2.932864e-01  4.474439e-01
## [11,] -2.436668e-04 -9.229566e-04  8.251241e-07 -2.744407e-04 -2.007735e-04
## [12,] -2.878131e-04 -1.090177e-03  9.765238e-07 -3.241647e-04 -2.371492e-04
## [13,] -7.005759e-09 -2.653478e-08  2.302863e-11 -7.889761e-09 -5.772300e-09
## [14,] -7.384267e-05 -2.797090e-04  2.542624e-07 -8.317344e-05 -6.084526e-05
## [15,] -1.681993e-05 -6.371069e-05  5.717235e-08 -1.894445e-05 -1.385914e-05
## [16,] -1.365025e-04 -5.170424e-04  4.625935e-07 -1.537425e-04 -1.124737e-04
## [17,] -3.237008e-04 -1.226117e-03  1.100345e-06 -3.645875e-04 -2.667202e-04
## [18,] -2.219505e-05 -8.405475e-05  6.811293e-08 -2.499015e-05 -1.828580e-05
## [19,] -1.302238e-04 -4.931511e-04  3.910182e-07 -1.466135e-04 -1.072846e-04
## [20,] -4.183375e-05 -1.584399e-04  1.336903e-07 -4.710807e-05 -3.446716e-05
## [21,] -1.488866e-05 -5.639038e-05  4.827974e-08 -1.676659e-05 -1.226711e-05
## [22,] -7.628727e-05 -2.889660e-04  2.613117e-07 -8.592539e-05 -6.285915e-05
## [23,] -2.890548e-04 -1.094894e-03  9.869329e-07 -3.255703e-04 -2.381743e-04
## [24,] -7.344769e-05 -2.781987e-04  2.463641e-07 -8.272110e-05 -6.051776e-05
## [25,]  2.182733e-09  8.271862e-09 -9.307306e-12  2.460584e-09  1.799097e-09
## [26,]  7.862808e-05  2.978577e-04 -2.809101e-07  8.857512e-05  6.479153e-05
## [27,] -5.008130e-05 -1.897018e-04  1.718005e-07 -5.640885e-05 -4.126605e-05
## [28,] -1.640644e-04 -6.214621e-04  5.657089e-07 -1.847965e-04 -1.351869e-04
## [29,]  3.427759e-05  1.298557e-04 -1.251462e-07  3.861702e-05  2.824644e-05
## [30,] -7.240411e-05 -2.742614e-04  2.500061e-07 -8.155390e-05 -5.966013e-05
## [31,] -3.501673e-05 -1.326285e-04  1.152053e-07 -3.943534e-05 -2.885160e-05
## [32,] -1.204955e-04 -4.564178e-04  4.112706e-07 -1.357172e-04 -9.928540e-05
## [33,] -8.496695e-05 -3.218456e-04  2.920409e-07 -9.570279e-05 -7.001134e-05
## [34,]  2.119088e-05  8.028684e-05 -8.118731e-08  2.387793e-05  1.746353e-05
## [35,] -9.318517e-05 -3.528908e-04  2.812116e-07 -1.049149e-04 -7.677086e-05
## [36,] -8.388788e-05 -3.177459e-04  2.826218e-07 -9.448087e-05 -6.912043e-05
## [37,] -3.229946e-04 -1.223394e-03  1.075499e-06 -3.637665e-04 -2.661313e-04
## [38,]  2.691769e-05  1.019701e-04 -9.660317e-08  3.032347e-05  2.218099e-05
## [39,] -4.919178e-05 -1.863351e-04  1.699971e-07 -5.540836e-05 -4.053349e-05
## [40,] -3.623175e-05 -1.372338e-04  1.207392e-07 -4.080543e-05 -2.985318e-05
## [41,] -7.395197e-06 -2.800859e-05  2.374837e-08 -8.327701e-06 -6.092999e-06
## [42,] -3.469831e-05 -1.314352e-04  1.200760e-07 -3.908348e-05 -2.859108e-05
## [43,] -3.090405e-05 -1.170586e-04  1.050486e-07 -3.480753e-05 -2.546405e-05
##               [,11]         [,12]         [,13]         [,14]         [,15]
##  [1,] -9.829790e-02 -1.158368e-01 -2.924591e-06 -1.635164e-02 -3.829573e-03
##  [2,] -6.401103e-04 -7.560858e-04 -1.840276e-08 -1.939919e-04 -4.418620e-05
##  [3,] -1.255903e-04 -1.483438e-04 -3.610992e-09 -3.805927e-05 -8.669268e-06
##  [4,]  3.331290e-05  3.935346e-05  9.559382e-10  1.010663e-05  2.300111e-06
##  [5,]  6.717401e-09  7.935402e-09  1.927791e-13  2.037848e-09  4.638017e-10
##  [6,] -2.436668e-04 -2.878131e-04 -7.005759e-09 -7.384267e-05 -1.681993e-05
##  [7,] -9.229566e-04 -1.090177e-03 -2.653478e-08 -2.797090e-04 -6.371069e-05
##  [8,]  8.251241e-07  9.765238e-07  2.302863e-11  2.542624e-07  5.717235e-08
##  [9,] -2.744407e-04 -3.241647e-04 -7.889761e-09 -8.317344e-05 -1.894445e-05
## [10,] -2.007735e-04 -2.371492e-04 -5.772300e-09 -6.084526e-05 -1.385914e-05
## [11,]  1.628947e+00  4.014086e-01  2.373034e-05 -2.485894e-04 -5.662400e-05
## [12,]  4.014086e-01  1.101642e+00  4.633186e-05 -2.936295e-04 -6.688292e-05
## [13,]  2.373034e-05  4.633186e-05 -1.290460e-05 -7.146583e-09 -1.627990e-09
## [14,] -2.485894e-04 -2.936295e-04 -7.146583e-09  6.141456e-01  1.786118e-02
## [15,] -5.662400e-05 -6.688292e-05 -1.627990e-09  1.786118e-02  1.286364e-01
## [16,] -4.595335e-04 -5.427894e-04 -1.321224e-08  9.364321e-02  4.806274e-02
## [17,] -1.089733e-03 -1.287167e-03 -3.133078e-08 -3.302446e-04 -7.522272e-05
## [18,] -7.472066e-05 -8.825470e-05 -2.149589e-09 -2.263626e-05 -5.157456e-06
## [19,] -4.384060e-04 -5.178096e-04 -1.261374e-08 -1.328037e-04 -3.025969e-05
## [20,] -1.408342e-04 -1.663459e-04 -4.050621e-09 -4.267076e-05 -9.721116e-06
## [21,] -5.012287e-05 -5.920281e-05 -1.441491e-09 -1.518727e-05 -3.459781e-06
## [22,] -2.568194e-04 -3.033500e-04 -7.383426e-09 -7.783149e-05 -1.772798e-05
## [23,] -9.730973e-04 -1.149402e-03 -2.797662e-08 -2.949027e-04 -6.717175e-05
## [24,] -2.472610e-04 -2.920572e-04 -7.109556e-09 -7.492911e-05 -1.706789e-05
## [25,]  7.347766e-09  8.679929e-09  2.109188e-13  2.228782e-09  5.073098e-10
## [26,]  2.646974e-04  3.126610e-04  7.607855e-09  8.023149e-05  1.827243e-05
## [27,] -1.685975e-04 -1.991442e-04 -4.847048e-09 -5.109532e-05 -1.163813e-05
## [28,] -5.523183e-04 -6.523893e-04 -1.587821e-08 -1.673892e-04 -3.812618e-05
## [29,]  1.153932e-04  1.363040e-04  3.316121e-09  3.497933e-05  7.965905e-06
## [30,] -2.437464e-04 -2.879094e-04 -7.007230e-09 -7.387176e-05 -1.682568e-05
## [31,] -1.178840e-04 -1.392399e-04 -3.389947e-09 -3.572072e-05 -8.137150e-06
## [32,] -4.056458e-04 -4.791400e-04 -1.166237e-08 -1.229331e-04 -2.800124e-05
## [33,] -2.860391e-04 -3.378642e-04 -8.223301e-09 -8.668788e-05 -1.974505e-05
## [34,]  7.133695e-05  8.426599e-05  2.049371e-09  2.162860e-05  4.924792e-06
## [35,] -3.137132e-04 -3.705332e-04 -9.025850e-09 -9.503273e-05 -2.165321e-05
## [36,] -2.824076e-04 -3.335719e-04 -8.119914e-09 -8.558114e-05 -1.949405e-05
## [37,] -1.087360e-03 -1.284353e-03 -3.126654e-08 -3.295012e-04 -7.505766e-05
## [38,]  9.061693e-05  1.070371e-04  2.604408e-09  2.746704e-05  6.255438e-06
## [39,] -1.656027e-04 -1.956074e-04 -4.760727e-09 -5.018905e-05 -1.143147e-05
## [40,] -1.219740e-04 -1.440717e-04 -3.507290e-09 -3.696173e-05 -8.419559e-06
## [41,] -2.489607e-05 -2.940597e-05 -7.160310e-10 -7.543279e-06 -1.718463e-06
## [42,] -1.168108e-04 -1.379752e-04 -3.358035e-09 -3.540192e-05 -8.063402e-06
## [43,] -1.040379e-04 -1.228871e-04 -2.991181e-09 -3.152879e-05 -7.181589e-06
##               [,16]         [,17]         [,18]         [,19]         [,20]
##  [1,] -3.127519e-02 -1.528726e-01 -1.152589e-02 -6.885182e-02 -9.167620e-03
##  [2,] -3.585914e-04 -8.503669e-04 -5.829297e-05 -3.420029e-04 -1.098819e-04
##  [3,] -7.035582e-05 -1.668407e-04 -1.144071e-05 -6.712664e-05 -2.156298e-05
##  [4,]  1.866289e-05  4.426597e-05  3.015595e-06  1.767024e-05  5.698033e-06
##  [5,]  3.763281e-09  8.925929e-09  6.082674e-10  3.564444e-09  1.149194e-09
##  [6,] -1.365025e-04 -3.237008e-04 -2.219505e-05 -1.302238e-04 -4.183375e-05
##  [7,] -5.170424e-04 -1.226117e-03 -8.405475e-05 -4.931511e-04 -1.584399e-04
##  [8,]  4.625935e-07  1.100345e-06  6.811293e-08  3.910182e-07  1.336903e-07
##  [9,] -1.537425e-04 -3.645875e-04 -2.499015e-05 -1.466135e-04 -4.710807e-05
## [10,] -1.124737e-04 -2.667202e-04 -1.828580e-05 -1.072846e-04 -3.446716e-05
## [11,] -4.595335e-04 -1.089733e-03 -7.472066e-05 -4.384060e-04 -1.408342e-04
## [12,] -5.427894e-04 -1.287167e-03 -8.825470e-05 -5.178096e-04 -1.663459e-04
## [13,] -1.321224e-08 -3.133078e-08 -2.149589e-09 -1.261374e-08 -4.050621e-09
## [14,]  9.364321e-02 -3.302446e-04 -2.263626e-05 -1.328037e-04 -4.267076e-05
## [15,]  4.806274e-02 -7.522272e-05 -5.157456e-06 -3.025969e-05 -9.721116e-06
## [16,]  2.246312e-01 -6.104704e-04 -4.185797e-05 -2.455911e-04 -7.889480e-05
## [17,] -6.104704e-04  2.033819e+00  2.709680e-01  8.066151e-02 -1.870835e-04
## [18,] -4.185797e-05  2.709680e-01  6.335756e-01  3.079783e-02 -1.284288e-05
## [19,] -2.455911e-04  8.066151e-02  3.079783e-02  5.724274e-01 -7.537019e-05
## [20,] -7.889480e-05 -1.870835e-04 -1.284288e-05 -7.537019e-05  2.047057e-01
## [21,] -2.807871e-05 -6.658373e-05 -4.569517e-06 -2.681529e-05  3.613667e-02
## [22,] -1.438708e-04 -3.411764e-04 -2.338814e-05 -1.372179e-04  3.246029e-02
## [23,] -5.451312e-04 -1.292726e-03 -8.862418e-05 -5.199638e-04 -1.670508e-04
## [24,] -1.385157e-04 -3.284728e-04 -2.252709e-05 -1.321776e-04 -4.245608e-05
## [25,]  4.116404e-09  9.763245e-09  6.658470e-10  3.902475e-09  1.257599e-09
## [26,]  1.482852e-04  3.516546e-04  2.408469e-05  1.412789e-04  4.541497e-05
## [27,] -9.444877e-05 -2.239768e-04 -1.535345e-05 -9.007793e-05 -2.894135e-05
## [28,] -3.094104e-04 -7.337415e-04 -5.029204e-05 -2.950544e-04 -9.480471e-05
## [29,]  6.464428e-05  1.533046e-04  1.049473e-05  6.155536e-05  1.979290e-05
## [30,] -1.365475e-04 -3.238116e-04 -2.219400e-05 -1.302075e-04 -4.183803e-05
## [31,] -6.603845e-05 -1.566000e-04 -1.074406e-05 -6.304569e-05 -2.024592e-05
## [32,] -2.272436e-04 -5.388861e-04 -3.694418e-05 -2.167542e-04 -6.963715e-05
## [33,] -1.602399e-04 -3.799950e-04 -2.604733e-05 -1.528171e-04 -4.910014e-05
## [34,]  3.996392e-05  9.477814e-05  6.481028e-06  3.800512e-05  1.222832e-05
## [35,] -1.757394e-04 -4.167172e-04 -2.863788e-05 -1.681019e-04 -5.393028e-05
## [36,] -1.582050e-04 -3.751645e-04 -2.572694e-05 -1.509500e-04 -4.848842e-05
## [37,] -6.091389e-04 -1.444490e-03 -9.907986e-05 -5.813682e-04 -1.867219e-04
## [38,]  5.076423e-05  1.203865e-04  8.244403e-06  4.836008e-05  1.554654e-05
## [39,] -9.277119e-05 -2.199996e-04 -1.507848e-05 -8.846191e-05 -2.842471e-05
## [40,] -6.832985e-05 -1.620350e-04 -1.111406e-05 -6.521345e-05 -2.094523e-05
## [41,] -1.394670e-05 -3.307194e-05 -2.270102e-06 -1.332215e-05 -4.276951e-06
## [42,] -6.543783e-05 -1.551808e-04 -1.063558e-05 -6.239607e-05 -2.004954e-05
## [43,] -5.828223e-05 -1.382102e-04 -9.476030e-06 -5.559751e-05 -1.786106e-05
##               [,21]         [,22]         [,23]         [,24]         [,25]
##  [1,] -3.163891e-03 -1.424117e-02 -1.480430e-01 -3.824086e-02  8.556952e-07
##  [2,] -3.910836e-05 -2.004115e-04 -7.593595e-04 -1.929420e-04  5.737611e-09
##  [3,] -7.674184e-06 -3.931944e-05 -1.489830e-04 -3.785660e-05  1.124754e-09
##  [4,]  2.029800e-06  1.043757e-05  3.953978e-05  1.003513e-05 -3.035247e-10
##  [5,]  4.093566e-10  2.104612e-09  7.972810e-09  2.023602e-09 -6.115393e-14
##  [6,] -1.488866e-05 -7.628727e-05 -2.890548e-04 -7.344769e-05  2.182733e-09
##  [7,] -5.639038e-05 -2.889660e-04 -1.094894e-03 -2.781987e-04  8.271862e-09
##  [8,]  4.827974e-08  2.613117e-07  9.869329e-07  2.463641e-07 -9.307306e-12
##  [9,] -1.676659e-05 -8.592539e-05 -3.255703e-04 -8.272110e-05  2.460584e-09
## [10,] -1.226711e-05 -6.285915e-05 -2.381743e-04 -6.051776e-05  1.799097e-09
## [11,] -5.012287e-05 -2.568194e-04 -9.730973e-04 -2.472610e-04  7.347766e-09
## [12,] -5.920281e-05 -3.033500e-04 -1.149402e-03 -2.920572e-04  8.679929e-09
## [13,] -1.441491e-09 -7.383426e-09 -2.797662e-08 -7.109556e-09  2.109188e-13
## [14,] -1.518727e-05 -7.783149e-05 -2.949027e-04 -7.492911e-05  2.228782e-09
## [15,] -3.459781e-06 -1.772798e-05 -6.717175e-05 -1.706789e-05  5.073098e-10
## [16,] -2.807871e-05 -1.438708e-04 -5.451312e-04 -1.385157e-04  4.116404e-09
## [17,] -6.658373e-05 -3.411764e-04 -1.292726e-03 -3.284728e-04  9.763245e-09
## [18,] -4.569517e-06 -2.338814e-05 -8.862418e-05 -2.252709e-05  6.658470e-10
## [19,] -2.681529e-05 -1.372179e-04 -5.199638e-04 -1.321776e-04  3.902475e-09
## [20,]  3.613667e-02  3.246029e-02 -1.670508e-04 -4.245608e-05  1.257599e-09
## [21,]  8.279547e-02 -3.873790e-02 -5.945478e-05 -1.510969e-05  4.479224e-10
## [22,] -3.873790e-02  1.083271e+00 -3.046631e-04 -7.741058e-05  2.301898e-09
## [23,] -5.945478e-05 -3.046631e-04  9.109562e-01  1.430930e-01  2.075026e-05
## [24,] -1.510969e-05 -7.741058e-05  1.430930e-01  3.803552e-01  5.962179e-06
## [25,]  4.479224e-10  2.301898e-09  2.075026e-05  5.962179e-06  6.879120e-06
## [26,]  1.616580e-05  8.288255e-05  3.140328e-04  7.977821e-05 -2.378191e-09
## [27,] -1.030061e-05 -5.278614e-05 -2.000066e-04 -5.081857e-05  1.511281e-09
## [28,] -3.374279e-05 -1.729274e-04 -6.552193e-04 -1.664777e-04  4.952315e-09
## [29,]  7.045914e-06  3.613420e-05  1.369063e-04  3.477721e-05 -1.038075e-09
## [30,] -1.489101e-05 -7.631572e-05 -2.891589e-04 -7.346892e-05  2.185703e-09
## [31,] -7.204915e-06 -3.690449e-05 -1.398351e-04 -3.553548e-05  1.054281e-09
## [32,] -2.478442e-05 -1.270019e-04 -4.812118e-04 -1.222708e-04  3.635123e-09
## [33,] -1.747550e-05 -8.955632e-05 -3.393284e-04 -8.621741e-05  2.564287e-09
## [34,]  4.353745e-06  2.234134e-05  8.464440e-05  2.149723e-05 -6.436196e-10
## [35,] -1.918763e-05 -9.819098e-05 -3.720769e-04 -9.458238e-05  2.793211e-09
## [36,] -1.725676e-05 -8.841495e-05 -3.350084e-04 -8.512623e-05  2.528930e-09
## [37,] -6.645100e-05 -3.404163e-04 -1.289864e-03 -3.277710e-04  9.730972e-09
## [38,]  5.533988e-06  2.837448e-05  1.075074e-04  2.731114e-05 -8.143674e-10
## [39,] -1.011696e-05 -5.184945e-05 -1.964565e-04 -4.991513e-05  1.485049e-09
## [40,] -7.454055e-06 -3.818609e-05 -1.446900e-04 -3.676748e-05  1.091614e-09
## [41,] -1.521934e-06 -7.793465e-06 -2.953075e-05 -7.505135e-06  2.223695e-10
## [42,] -7.136088e-06 -3.657306e-05 -1.385744e-04 -3.520843e-05  1.047587e-09
## [43,] -6.356817e-06 -3.257246e-05 -1.234178e-04 -3.135963e-05  9.321057e-10
##               [,26]         [,27]         [,28]         [,29]         [,30]
##  [1,] -3.733497e-02  2.276748e-02  7.499730e-02 -1.613454e-02  3.204303e-02
##  [2,]  2.065827e-04 -1.315673e-04 -4.310146e-04  9.006392e-05 -1.902140e-04
##  [3,]  4.052431e-05 -2.581251e-05 -8.456037e-05  1.766603e-05 -3.731773e-05
##  [4,] -1.078874e-05  6.852765e-06  2.245712e-05 -4.710469e-06  9.911603e-06
##  [5,] -2.175116e-09  1.381772e-09  4.528113e-09 -9.496065e-10  1.998504e-09
##  [6,]  7.862808e-05 -5.008130e-05 -1.640644e-04  3.427759e-05 -7.240411e-05
##  [7,]  2.978577e-04 -1.897018e-04 -6.214621e-04  1.298557e-04 -2.742614e-04
##  [8,] -2.809101e-07  1.718005e-07  5.657089e-07 -1.251462e-07  2.500061e-07
##  [9,]  8.857512e-05 -5.640885e-05 -1.847965e-04  3.861702e-05 -8.155390e-05
## [10,]  6.479153e-05 -4.126605e-05 -1.351869e-04  2.824644e-05 -5.966013e-05
## [11,]  2.646974e-04 -1.685975e-04 -5.523183e-04  1.153932e-04 -2.437464e-04
## [12,]  3.126610e-04 -1.991442e-04 -6.523893e-04  1.363040e-04 -2.879094e-04
## [13,]  7.607855e-09 -4.847048e-09 -1.587821e-08  3.316121e-09 -7.007230e-09
## [14,]  8.023149e-05 -5.109532e-05 -1.673892e-04  3.497933e-05 -7.387176e-05
## [15,]  1.827243e-05 -1.163813e-05 -3.812618e-05  7.965905e-06 -1.682568e-05
## [16,]  1.482852e-04 -9.444877e-05 -3.094104e-04  6.464428e-05 -1.365475e-04
## [17,]  3.516546e-04 -2.239768e-04 -7.337415e-04  1.533046e-04 -3.238116e-04
## [18,]  2.408469e-05 -1.535345e-05 -5.029204e-05  1.049473e-05 -2.219400e-05
## [19,]  1.412789e-04 -9.007793e-05 -2.950544e-04  6.155536e-05 -1.302075e-04
## [20,]  4.541497e-05 -2.894135e-05 -9.480471e-05  1.979290e-05 -4.183803e-05
## [21,]  1.616580e-05 -1.030061e-05 -3.374279e-05  7.045914e-06 -1.489101e-05
## [22,]  8.288255e-05 -5.278614e-05 -1.729274e-04  3.613420e-05 -7.631572e-05
## [23,]  3.140328e-04 -2.000066e-04 -6.552193e-04  1.369063e-04 -2.891589e-04
## [24,]  7.977821e-05 -5.081857e-05 -1.664777e-04  3.477721e-05 -7.346892e-05
## [25,] -2.378191e-09  1.511281e-09  4.952315e-09 -1.038075e-09  2.185703e-09
## [26,]  2.214015e+00  6.654389e-01  3.009365e-01 -3.726953e-05  7.867104e-05
## [27,]  6.654389e-01  2.243491e+00 -1.387682e-01  2.372207e-05 -5.010028e-05
## [28,]  3.009365e-01 -1.387682e-01  8.135514e-01  7.771922e-05 -1.641300e-04
## [29,] -3.726953e-05  2.372207e-05  7.771922e-05  3.522870e+00  9.663442e-02
## [30,]  7.867104e-05 -5.010028e-05 -1.641300e-04  9.663442e-02  2.932128e+00
## [31,]  3.802656e-05 -2.422695e-05 -7.936395e-05  8.593322e-02 -1.622633e-01
## [32,]  1.309073e-04 -8.337478e-05 -2.731347e-04  5.707049e-05 -1.205387e-04
## [33,]  9.231630e-05 -5.879247e-05 -1.926048e-04  4.024770e-05 -8.499981e-05
## [34,] -2.305463e-05  1.466732e-05  4.805652e-05 -1.005701e-05  2.120891e-05
## [35,]  1.011012e-04 -6.445847e-05 -2.111377e-04  4.405086e-05 -9.317519e-05
## [36,]  9.112283e-05 -5.804281e-05 -1.901447e-04  3.972345e-05 -8.391360e-05
## [37,]  3.508046e-04 -2.234763e-04 -7.320853e-04  1.529186e-04 -3.230786e-04
## [38,] -2.926104e-05  1.862771e-05  6.102764e-05 -1.275992e-05  2.693291e-05
## [39,]  5.345009e-05 -3.403850e-05 -1.115112e-04  2.330359e-05 -4.921189e-05
## [40,]  3.935168e-05 -2.506839e-05 -8.212153e-05  1.715379e-05 -3.624130e-05
## [41,]  8.028696e-06 -5.116192e-06 -1.675947e-05  3.499172e-06 -7.396090e-06
## [42,]  3.770260e-05 -2.400976e-05 -7.865685e-05  1.643799e-05 -3.471269e-05
## [43,]  3.357281e-05 -2.138329e-05 -7.005104e-05  1.463614e-05 -3.091462e-05
##               [,31]         [,32]         [,33]         [,34]         [,35]
##  [1,]  1.468618e-02  2.961513e-02  2.117168e-02 -6.465028e-03 -5.151206e-02
##  [2,] -9.198231e-05 -3.165467e-04 -2.232155e-04  5.568592e-05 -2.447322e-04
##  [3,] -1.804873e-05 -6.210514e-05 -4.379291e-05  1.092085e-05 -4.803411e-05
##  [4,]  4.778317e-06  1.648219e-05  1.162778e-05 -2.922271e-06  1.264818e-05
##  [5,]  9.636156e-10  3.323476e-09  2.344577e-09 -5.890146e-10  2.551356e-09
##  [6,] -3.501673e-05 -1.204955e-04 -8.496695e-05  2.119088e-05 -9.318517e-05
##  [7,] -1.326285e-04 -4.564178e-04 -3.218456e-04  8.028684e-05 -3.528908e-04
##  [8,]  1.152053e-07  4.112706e-07  2.920409e-07 -8.118731e-08  2.812116e-07
##  [9,] -3.943534e-05 -1.357172e-04 -9.570279e-05  2.387793e-05 -1.049149e-04
## [10,] -2.885160e-05 -9.928540e-05 -7.001134e-05  1.746353e-05 -7.677086e-05
## [11,] -1.178840e-04 -4.056458e-04 -2.860391e-04  7.133695e-05 -3.137132e-04
## [12,] -1.392399e-04 -4.791400e-04 -3.378642e-04  8.426599e-05 -3.705332e-04
## [13,] -3.389947e-09 -1.166237e-08 -8.223301e-09  2.049371e-09 -9.025850e-09
## [14,] -3.572072e-05 -1.229331e-04 -8.668788e-05  2.162860e-05 -9.503273e-05
## [15,] -8.137150e-06 -2.800124e-05 -1.974505e-05  4.924792e-06 -2.165321e-05
## [16,] -6.603845e-05 -2.272436e-04 -1.602399e-04  3.996392e-05 -1.757394e-04
## [17,] -1.566000e-04 -5.388861e-04 -3.799950e-04  9.477814e-05 -4.167172e-04
## [18,] -1.074406e-05 -3.694418e-05 -2.604733e-05  6.481028e-06 -2.863788e-05
## [19,] -6.304569e-05 -2.167542e-04 -1.528171e-04  3.800512e-05 -1.681019e-04
## [20,] -2.024592e-05 -6.963715e-05 -4.910014e-05  1.222832e-05 -5.393028e-05
## [21,] -7.204916e-06 -2.478442e-05 -1.747550e-05  4.353745e-06 -1.918763e-05
## [22,] -3.690449e-05 -1.270019e-04 -8.955632e-05  2.234134e-05 -9.819098e-05
## [23,] -1.398351e-04 -4.812118e-04 -3.393284e-04  8.464440e-05 -3.720769e-04
## [24,] -3.553548e-05 -1.222708e-04 -8.621741e-05  2.149723e-05 -9.458238e-05
## [25,]  1.054281e-09  3.635123e-09  2.564287e-09 -6.436196e-10  2.793211e-09
## [26,]  3.802656e-05  1.309073e-04  9.231630e-05 -2.305463e-05  1.011012e-04
## [27,] -2.422695e-05 -8.337478e-05 -5.879247e-05  1.466732e-05 -6.445847e-05
## [28,] -7.936395e-05 -2.731347e-04 -1.926048e-04  4.805652e-05 -2.111377e-04
## [29,]  8.593322e-02  5.707049e-05  4.024770e-05 -1.005701e-05  4.405086e-05
## [30,] -1.622633e-01 -1.205387e-04 -8.499981e-05  2.120891e-05 -9.317519e-05
## [31,]  7.249710e-01 -5.829186e-05 -4.110246e-05  1.024357e-05 -4.511281e-05
## [32,] -5.829186e-05  2.996833e+00  5.545486e-01  1.344694e-01 -1.551054e-04
## [33,] -4.110246e-05  5.545486e-01  2.807300e+00  2.729351e-02 -1.093539e-04
## [34,]  1.024357e-05  1.344694e-01  2.729351e-02  4.802983e-01  2.719897e-05
## [35,] -4.511281e-05 -1.551054e-04 -1.093539e-04  2.719897e-05  9.920419e-01
## [36,] -4.058555e-05 -1.396518e-04 -9.847404e-05  2.455592e-05  2.009834e-01
## [37,] -1.562784e-04 -5.376939e-04 -3.791427e-04  9.451755e-05  3.915921e-02
## [38,]  1.301770e-05  4.481539e-05  3.160419e-05 -7.893610e-06  3.460732e-05
## [39,] -2.379553e-05 -8.189483e-05 -5.774952e-05  1.440980e-05 -6.330252e-05
## [40,] -1.753036e-05 -6.031561e-05 -4.253024e-05  1.060269e-05 -4.666453e-05
## [41,] -3.578888e-06 -1.231025e-05 -8.679839e-06  2.161948e-06 -9.532551e-06
## [42,] -1.678446e-05 -5.776612e-05 -4.073484e-05  1.016461e-05 -4.465010e-05
## [43,] -1.495077e-05 -5.144800e-05 -3.627851e-05  9.048559e-06 -3.978443e-05
##               [,36]         [,37]         [,38]         [,39]         [,40]
##  [1,] -4.216952e-02 -1.641749e-01 -1.079299e-02  1.879519e-02  1.320884e-02
##  [2,] -2.203700e-04 -8.484695e-04  7.072273e-05 -1.292327e-04 -9.517681e-05
##  [3,] -4.323754e-05 -1.664798e-04  1.387311e-05 -2.535386e-05 -1.867478e-05
##  [4,]  1.146487e-05  4.410950e-05 -3.694600e-06  6.734379e-06  4.948216e-06
##  [5,]  2.311880e-09  8.894969e-09 -7.448562e-10  1.357868e-09  9.978376e-10
##  [6,] -8.388788e-05 -3.229946e-04  2.691769e-05 -4.919178e-05 -3.623175e-05
##  [7,] -3.177459e-04 -1.223394e-03  1.019701e-04 -1.863351e-04 -1.372338e-04
##  [8,]  2.826218e-07  1.075499e-06 -9.660317e-08  1.699971e-07  1.207392e-07
##  [9,] -9.448087e-05 -3.637665e-04  3.032347e-05 -5.540836e-05 -4.080543e-05
## [10,] -6.912043e-05 -2.661313e-04  2.218099e-05 -4.053349e-05 -2.985318e-05
## [11,] -2.824076e-04 -1.087360e-03  9.061693e-05 -1.656027e-04 -1.219740e-04
## [12,] -3.335719e-04 -1.284353e-03  1.070371e-04 -1.956074e-04 -1.440717e-04
## [13,] -8.119914e-09 -3.126654e-08  2.604408e-09 -4.760727e-09 -3.507290e-09
## [14,] -8.558114e-05 -3.295012e-04  2.746704e-05 -5.018905e-05 -3.696173e-05
## [15,] -1.949405e-05 -7.505766e-05  6.255438e-06 -1.143147e-05 -8.419559e-06
## [16,] -1.582050e-04 -6.091389e-04  5.076423e-05 -9.277119e-05 -6.832985e-05
## [17,] -3.751645e-04 -1.444490e-03  1.203865e-04 -2.199996e-04 -1.620350e-04
## [18,] -2.572694e-05 -9.907986e-05  8.244403e-06 -1.507848e-05 -1.111406e-05
## [19,] -1.509500e-04 -5.813682e-04  4.836008e-05 -8.846191e-05 -6.521345e-05
## [20,] -4.848842e-05 -1.867219e-04  1.554654e-05 -2.842471e-05 -2.094523e-05
## [21,] -1.725676e-05 -6.645100e-05  5.533988e-06 -1.011696e-05 -7.454055e-06
## [22,] -8.841495e-05 -3.404163e-04  2.837448e-05 -5.184945e-05 -3.818609e-05
## [23,] -3.350084e-04 -1.289864e-03  1.075074e-04 -1.964565e-04 -1.446900e-04
## [24,] -8.512623e-05 -3.277710e-04  2.731114e-05 -4.991513e-05 -3.676748e-05
## [25,]  2.528930e-09  9.730972e-09 -8.143674e-10  1.485049e-09  1.091614e-09
## [26,]  9.112283e-05  3.508046e-04 -2.926104e-05  5.345009e-05  3.935168e-05
## [27,] -5.804281e-05 -2.234763e-04  1.862771e-05 -3.403850e-05 -2.506839e-05
## [28,] -1.901447e-04 -7.320853e-04  6.102764e-05 -1.115112e-04 -8.212153e-05
## [29,]  3.972345e-05  1.529186e-04 -1.275992e-05  2.330359e-05  1.715379e-05
## [30,] -8.391360e-05 -3.230786e-04  2.693291e-05 -4.921189e-05 -3.624130e-05
## [31,] -4.058555e-05 -1.562784e-04  1.301770e-05 -2.379553e-05 -1.753036e-05
## [32,] -1.396518e-04 -5.376939e-04  4.481539e-05 -8.189483e-05 -6.031561e-05
## [33,] -9.847404e-05 -3.791427e-04  3.160419e-05 -5.774952e-05 -4.253024e-05
## [34,]  2.455592e-05  9.451755e-05 -7.893610e-06  1.440980e-05  1.060269e-05
## [35,]  2.009834e-01  3.915921e-02  3.460732e-05 -6.330252e-05 -4.666453e-05
## [36,]  6.226124e-01 -5.444456e-02  3.119497e-05 -5.701133e-05 -4.199313e-05
## [37,] -5.444456e-02  1.080401e+00  1.200930e-04 -2.195008e-04 -1.616934e-04
## [38,]  3.119497e-05  1.200930e-04  1.658951e+00  1.023397e-02  3.938602e-01
## [39,] -5.701133e-05 -2.195008e-04  1.023397e-02  1.652917e+00  8.236137e-02
## [40,] -4.199313e-05 -1.616934e-04  3.938602e-01  8.236137e-02  8.104469e-01
## [41,] -8.571532e-06 -3.300735e-05  2.748412e-06 -5.024900e-06 -3.702551e-06
## [42,] -4.021390e-05 -1.548281e-04  1.290745e-05 -2.358409e-05 -1.736782e-05
## [43,] -3.581733e-05 -1.379069e-04  1.149341e-05 -2.100358e-05 -1.546965e-05
##               [,41]         [,42]         [,43]
##  [1,]  3.778527e-03  1.895859e-02  1.661573e-02
##  [2,] -1.942469e-05 -9.115696e-05 -8.118538e-05
##  [3,] -3.811799e-06 -1.788378e-05 -1.592845e-05
##  [4,]  1.007582e-06  4.750658e-06  4.226111e-06
##  [5,]  2.032086e-10  9.578814e-10  8.521662e-10
##  [6,] -7.395197e-06 -3.469831e-05 -3.090405e-05
##  [7,] -2.800859e-05 -1.314352e-04 -1.170586e-04
##  [8,]  2.374837e-08  1.200760e-07  1.050486e-07
##  [9,] -8.327701e-06 -3.908348e-05 -3.480753e-05
## [10,] -6.092999e-06 -2.859108e-05 -2.546405e-05
## [11,] -2.489607e-05 -1.168108e-04 -1.040379e-04
## [12,] -2.940597e-05 -1.379752e-04 -1.228871e-04
## [13,] -7.160310e-10 -3.358035e-09 -2.991181e-09
## [14,] -7.543279e-06 -3.540192e-05 -3.152879e-05
## [15,] -1.718463e-06 -8.063402e-06 -7.181589e-06
## [16,] -1.394670e-05 -6.543783e-05 -5.828223e-05
## [17,] -3.307194e-05 -1.551808e-04 -1.382102e-04
## [18,] -2.270102e-06 -1.063558e-05 -9.476030e-06
## [19,] -1.332215e-05 -6.239607e-05 -5.559751e-05
## [20,] -4.276951e-06 -2.004954e-05 -1.786106e-05
## [21,] -1.521934e-06 -7.136088e-06 -6.356817e-06
## [22,] -7.793465e-06 -3.657306e-05 -3.257246e-05
## [23,] -2.953075e-05 -1.385744e-04 -1.234178e-04
## [24,] -7.505135e-06 -3.520843e-05 -3.135963e-05
## [25,]  2.223695e-10  1.047587e-09  9.321057e-10
## [26,]  8.028696e-06  3.770260e-05  3.357281e-05
## [27,] -5.116192e-06 -2.400976e-05 -2.138329e-05
## [28,] -1.675947e-05 -7.865685e-05 -7.005104e-05
## [29,]  3.499172e-06  1.643799e-05  1.463614e-05
## [30,] -7.396090e-06 -3.471269e-05 -3.091462e-05
## [31,] -3.578888e-06 -1.678446e-05 -1.495077e-05
## [32,] -1.231025e-05 -5.776612e-05 -5.144800e-05
## [33,] -8.679839e-06 -4.073484e-05 -3.627851e-05
## [34,]  2.161948e-06  1.016461e-05  9.048559e-06
## [35,] -9.532551e-06 -4.465010e-05 -3.978443e-05
## [36,] -8.571532e-06 -4.021390e-05 -3.581733e-05
## [37,] -3.300735e-05 -1.548281e-04 -1.379069e-04
## [38,]  2.748412e-06  1.290745e-05  1.149341e-05
## [39,] -5.024900e-06 -2.358409e-05 -2.100358e-05
## [40,] -3.702551e-06 -1.736782e-05 -1.546965e-05
## [41,]  1.649536e+00  4.990849e-01 -1.764443e-01
## [42,]  4.990849e-01  2.773029e+00  7.582299e-02
## [43,] -1.764443e-01  7.582299e-02  9.311637e-01
## 
## Model rank =  897 / 897 
## 
## Basis dimension (k) checking results. Low p-value (k-index<1) may
## indicate that k is too low, especially if edf is close to k'.
## 
##                                 k'   edf k-index p-value    
## s(bb.sp)                     14.00 12.54      NA      NA    
## te(yday,elev.mean):bb.spbss  63.00 27.31    0.85  <2e-16 ***
## te(yday,elev.mean):bb.spgers 63.00  4.13    0.85  <2e-16 ***
## te(yday,elev.mean):bb.sphort 63.00 24.22    0.85  <2e-16 ***
## te(yday,elev.mean):bb.spjone 63.00 13.57    0.85  <2e-16 ***
## te(yday,elev.mean):bb.splapi 63.00  5.01    0.85  <2e-16 ***
## te(yday,elev.mean):bb.spmend 63.00 10.27    0.85  <2e-16 ***
## te(yday,elev.mean):bb.spmont 63.00  5.75    0.85  <2e-16 ***
## te(yday,elev.mean):bb.spmuci 63.00  4.91    0.85  <2e-16 ***
## te(yday,elev.mean):bb.sppasc 63.00 24.28    0.85  <2e-16 ***
## te(yday,elev.mean):bb.spprat 63.00 25.48    0.85  <2e-16 ***
## te(yday,elev.mean):bb.sppsit 63.00 23.22    0.85  <2e-16 ***
## te(yday,elev.mean):bb.sppyre 63.00  7.20    0.85  <2e-16 ***
## te(yday,elev.mean):bb.spsoro 63.00 21.61    0.85  <2e-16 ***
## te(yday,elev.mean):bb.spwurf 63.00 23.81    0.85  <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

bb_abund.2012.sum <- summary(bb_abund.2012)
print(plot(bb_abund.2012, allTerms = TRUE), pages = 1)

bb_abund.2012.ck <- check2D(bb_abund.2012, x1 = "yday", x2 = "elev.mean") # See if there is any spatiotemporal pattern to the residuals

Extract predictions

# Function to build data set over which to generate predictions
newdata_build <- function(dat, y) {
  
  ## yday min/max
  min_yday <- min(filter(dat, year == y)$yday)
  max_yday <- max(filter(dat, year == y)$yday)
  
  ## elev min.max
  min_elev <- min(filter(dat, year == y)$elev.mean)
  max_elev <- max(filter(dat, year == y)$elev.mean)
  
  ## species list
  spp <- dat %>%
    filter(year == y) %>%
    select(bb.sp) %>%
    unique() %>%
    na.omit() ##### NEED TO FIGURE OUT WHERE THE NA COMES FROM!
  
  # sequence of 50 points along the yday and elev ranges, respectively
  seq_yday <- seq(min_yday, max_yday, length.out = 50)
  seq_elev <- seq(min_elev, max_elev, length.out = 50)
  
  newdata <- tibble(seq_yday, seq_elev) %>% # combine seqs into data frame
    complete(seq_yday, seq_elev) %>% # get all possible values
    crossing(spp) %>% # get all possible combos with species
    select(yday = seq_yday, elev.mean = seq_elev, bb.sp) # rename columns to match the original model inputs
}

newdata2010.FL <- newdata_build(fl_abund_wt, 2010)
newdata2011.FL <- newdata_build(fl_abund_wt, 2011)
newdata2012.FL <- newdata_build(fl_abund_wt, 2012)

newdata2010.BB <- newdata_build(filter(bb_abund_sp, bb.total.abund >= 5), 2010)

## Adding missing grouping variables: `year`

newdata2011.BB <- newdata_build(filter(bb_abund_sp, bb.total.abund >= 5), 2011)

## Adding missing grouping variables: `year`

newdata2012.BB <- newdata_build(filter(bb_abund_sp, bb.total.abund >= 5), 2012)

## Adding missing grouping variables: `year`

# A little wrapper to make predictions and return a tibble with desired columns 
predict_func <- function(mod, new, y) {
  predict.bam(mod, newdata = new, type = "response") %>%
    data.frame() %>%
    tibble() %>%
    bind_cols(new) %>%
    select(yday, elev.mean, bb.sp, pred = 1) %>%
    mutate(year = rep(y, n()))
}

# Generate predictions
predict2010.FL <- predict_func(weighted_fl_abundance.2010, newdata2010.FL, 2010)
predict2011.FL <- predict_func(weighted_fl_abundance.2011, newdata2011.FL, 2011)
predict2012.FL <- predict_func(weighted_fl_abundance.2012, newdata2012.FL, 2012)
predict_pool.FL <- bind_rows(predict2010.FL, predict2011.FL, predict2012.FL)

predict2010.BB <- predict_func(bb_abund.2010, newdata2010.BB, 2010)
predict2011.BB <- predict_func(bb_abund.2011, newdata2011.BB, 2011)
predict2012.BB <- predict_func(bb_abund.2012, newdata2012.BB, 2012)
predict_pool.BB <- bind_rows(predict2010.BB, predict2011.BB, predict2012.BB)

# Subset predictions
predict_major.FL <- filter(predict_pool.FL, bb.sp %in% c("bss", "pasc", "prat", "soro", "wurf"))
predict_highelev.FL <- filter(predict_pool.FL, bb.sp %in% c("pyre", "mend", "mont"))
predict_minor.FL <- filter(predict_pool.FL, bb.sp %in% c("gers", "hort", "hypn","jone", "lapi", "muci"))

predict_major.BB <- filter(predict_pool.BB, bb.sp %in% c("bss", "pasc", "prat", "soro", "wurf"))
predict_highelev.BB <- filter(predict_pool.BB, bb.sp %in% c("pyre", "mend", "mont"))
predict_minor.BB <- filter(predict_pool.BB, bb.sp %in% c("gers", "hort", "hypn","jone", "lapi", "muci"))

Visualize

ggplot(predict_major.FL, aes(yday, elev.mean, fill = pred)) +
  geom_raster() +
  geom_contour(aes(z = pred), color = "black", size = 0.25, binwidth = 1) +
  scale_fill_viridis_c() +
  facet_grid(year~bb.sp)

## Warning: Raster pixels are placed at uneven horizontal intervals and will be
## shifted. Consider using geom_tile() instead.

## Warning: Raster pixels are placed at uneven vertical intervals and will be
## shifted. Consider using geom_tile() instead.

ggplot(predict_highelev.FL, aes(yday, elev.mean, fill = pred)) +
  geom_raster() +
  geom_contour(aes(z = pred), color = "black", size = 0.25, binwidth = 1) +
  scale_fill_viridis_c() +
  facet_grid(year~bb.sp)

## Warning: Raster pixels are placed at uneven horizontal intervals and will be
## shifted. Consider using geom_tile() instead.

## Warning: Raster pixels are placed at uneven vertical intervals and will be
## shifted. Consider using geom_tile() instead.

ggplot(predict_minor.FL, aes(yday, elev.mean, fill = pred)) +
  geom_raster() +
  geom_contour(aes(z = pred), color = "black", size = 0.25, binwidth = 1) +
  scale_fill_viridis_c() +
  facet_grid(year~bb.sp)

## Warning: Raster pixels are placed at uneven horizontal intervals and will be
## shifted. Consider using geom_tile() instead.

## Warning: Raster pixels are placed at uneven vertical intervals and will be
## shifted. Consider using geom_tile() instead.

# Plot
ggplot(predict_major.BB, aes(yday, elev.mean, fill = log(pred))) +
  geom_raster() +
  geom_contour(aes(z = log(pred)), color = "black", size = 0.25, binwidth = 1) +
  scale_fill_viridis_c() +
  facet_grid(year~bb.sp)

## Warning: Raster pixels are placed at uneven horizontal intervals and will be
## shifted. Consider using geom_tile() instead.

## Warning: Raster pixels are placed at uneven vertical intervals and will be
## shifted. Consider using geom_tile() instead.

ggplot(predict_highelev.BB, aes(yday, elev.mean, fill = log(pred))) +
  geom_raster() +
  geom_contour(aes(z = log(pred)), color = "black", size = 0.25, binwidth = 1) +
  scale_fill_viridis_c() +
  facet_grid(year~bb.sp)

## Warning: Raster pixels are placed at uneven horizontal intervals and will be
## shifted. Consider using geom_tile() instead.

## Warning: Raster pixels are placed at uneven vertical intervals and will be
## shifted. Consider using geom_tile() instead.

ggplot(predict_minor.BB, aes(yday, elev.mean, fill = log(pred))) +
  geom_raster() +
  geom_contour(aes(z = log(pred)), color = "black", size = 0.25, binwidth = 1) +
  scale_fill_viridis_c() +
  facet_grid(year~bb.sp)

## Warning: Raster pixels are placed at uneven horizontal intervals and will be
## shifted. Consider using geom_tile() instead.

## Warning: Raster pixels are placed at uneven vertical intervals and will be
## shifted. Consider using geom_tile() instead.